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320240340 = 223257416199
BaseRepresentation
bin10011000101100…
…111101011010100
3211022120220011100
4103011213223110
51123440142330
651435510100
710635666210
oct2305475324
9738526140
10320240340
11154849342
128b2b8330
1351466734
1430761940
151d1ab060
hex13167ad4

320240340 has 144 divisors (see below), whose sum is σ = 1137427200. Its totient is φ = 71400960.

The previous prime is 320240321. The next prime is 320240351. The reversal of 320240340 is 43042023.

320240340 is a `hidden beast` number, since 320 + 2 + 4 + 0 + 340 = 666.

320240340 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

320240340 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48561 + ... + 54759.

It is an arithmetic number, because the mean of its divisors is an integer number (7898800).

Almost surely, 2320240340 is an apocalyptic number.

320240340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320240340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568713600).

320240340 is an abundant number, since it is smaller than the sum of its proper divisors (817186860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

320240340 is a wasteful number, since it uses less digits than its factorization.

320240340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 320240340 is about 17895.2602663387. The cubic root of 320240340 is about 684.1615756592.

Adding to 320240340 its reverse (43042023), we get a palindrome (363282363).

The spelling of 320240340 in words is "three hundred twenty million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 574 615 630 738 820 861 1148 1230 1260 1435 1476 1722 1845 2460 2583 2870 3444 3690 4305 5166 5740 6199 7380 8610 10332 12398 12915 17220 18597 24796 25830 30995 37194 43393 51660 55791 61990 74388 86786 92985 111582 123980 130179 173572 185970 216965 223164 254159 260358 278955 371940 390537 433930 508318 520716 557910 650895 762477 781074 867860 1016636 1115820 1270795 1301790 1524954 1562148 1779113 1952685 2287431 2541590 2603580 3049908 3558226 3812385 3905370 4574862 5083180 5337339 7116452 7624770 7810740 8895565 9149724 10674678 11437155 15249540 16012017 17791130 21349356 22874310 26686695 32024034 35582260 45748620 53373390 64048068 80060085 106746780 160120170 320240340