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2330493396 = 2237112376197
BaseRepresentation
bin1000101011101000…
…1000000111010100
320000102020022221020
42022322020013110
514233101242041
61023130321140
7111515603250
oct21272100724
96012208836
102330493396
11a96559200
125505891b0
132b1a9089a
14181729260
15d98e6866
hex8ae881d4

2330493396 has 144 divisors (see below), whose sum is σ = 7016731008. Its totient is φ = 588867840.

The previous prime is 2330493371. The next prime is 2330493413. The reversal of 2330493396 is 6933940332.

It is a super-2 number, since 2×23304933962 = 10862398937599225632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372970 + ... + 379166.

Almost surely, 22330493396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2330493396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508365504).

2330493396 is an abundant number, since it is smaller than the sum of its proper divisors (4686237612).

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

2330493396 is a wasteful number, since it uses less digits than its factorization.

2330493396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 42.

The square root of 2330493396 is about 48275.1840597216. The cubic root of 2330493396 is about 1325.8140759274.

The spelling of 2330493396 in words is "two billion, three hundred thirty million, four hundred ninety-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 66 74 77 84 111 121 132 148 154 222 231 242 259 308 363 407 444 462 484 518 726 777 814 847 924 1036 1221 1452 1554 1628 1694 2442 2541 2849 3108 3388 4477 4884 5082 5698 6197 8547 8954 10164 11396 12394 13431 17094 17908 18591 24788 26862 31339 34188 37182 43379 53724 62678 68167 74364 86758 94017 125356 130137 136334 173516 188034 204501 229289 260274 272668 376068 409002 458578 477169 520548 687867 749837 818004 917156 954338 1375734 1431507 1499674 1605023 1908676 2249511 2522179 2751468 2863014 2999348 3210046 4499022 4815069 5044358 5248859 5726028 6420092 7566537 8998044 9630138 10088716 10497718 15133074 15746577 17655253 19260276 20995436 27743969 30266148 31493154 35310506 52965759 55487938 62986308 70621012 83231907 105931518 110975876 166463814 194207783 211863036 332927628 388415566 582623349 776831132 1165246698 2330493396