[go: up one dir, main page]

Search a number
-
+
340362640 = 24531711933
BaseRepresentation
bin10100010010011…
…000010110010000
3212201110012202201
4110102120112100
51144113101030
653435052544
711302014622
oct2422302620
9781405681
10340362640
11165142542
1295ba1154
1355690717
14332bcc12
151ed332ca
hex14498590

340362640 has 80 divisors (see below), whose sum is σ = 828804096. Its totient is φ = 129830400.

The previous prime is 340362629. The next prime is 340362643. The reversal of 340362640 is 46263043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 340362599 and 340362608.

It is not an unprimeable number, because it can be changed into a prime (340362643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175114 + ... + 177046.

Almost surely, 2340362640 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 340362640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414402048).

340362640 is an abundant number, since it is smaller than the sum of its proper divisors (488441456).

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

340362640 is a wasteful number, since it uses less digits than its factorization.

340362640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 340362640 is about 18448.9197515735. The cubic root of 340362640 is about 698.2012594133.

The spelling of 340362640 in words is "three hundred forty million, three hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 71 80 124 142 155 248 284 310 355 496 568 620 710 1136 1240 1420 1933 2201 2480 2840 3866 4402 5680 7732 8804 9665 11005 15464 17608 19330 22010 30928 35216 38660 44020 59923 77320 88040 119846 137243 154640 176080 239692 274486 299615 479384 548972 599230 686215 958768 1097944 1198460 1372430 2195888 2396920 2744860 4254533 4793840 5489720 8509066 10979440 17018132 21272665 34036264 42545330 68072528 85090660 170181320 340362640