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3120000345 = 3257113832351
BaseRepresentation
bin1011100111110111…
…0110110101011001
322001102211102212100
42321331312311121
522342210002340
61233332234013
7140213364630
oct27175666531
98042742770
103120000345
111361182490
12730a6b909
133a950b667
14218522517
15133d99830
hexb9f76d59

3120000345 has 96 divisors (see below), whose sum is σ = 6762921984. Its totient is φ = 1292688000.

The previous prime is 3120000341. The next prime is 3120000349. The reversal of 3120000345 is 5430000213.

It is an interprime number because it is at equal distance from previous prime (3120000341) and next prime (3120000349).

It is not a de Polignac number, because 3120000345 - 22 = 3120000341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3120000341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1325920 + ... + 1328270.

It is an arithmetic number, because the mean of its divisors is an integer number (70447104).

Almost surely, 23120000345 is an apocalyptic number.

3120000345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3120000345 is an abundant number, since it is smaller than the sum of its proper divisors (3642921639).

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

3120000345 is a wasteful number, since it uses less digits than its factorization.

3120000345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3120000345 is about 55856.9632633211. The cubic root of 3120000345 is about 1461.2287686720.

Adding to 3120000345 its reverse (5430000213), we get a palindrome (8550000558).

The spelling of 3120000345 in words is "three billion, one hundred twenty million, three hundred forty-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 383 385 495 693 1149 1155 1915 2351 2681 3447 3465 4213 5745 7053 8043 11755 12639 13405 16457 17235 21065 21159 24129 25861 29491 35265 37917 40215 49371 63195 77583 82285 88473 105795 120645 129305 147455 148113 181027 189585 232749 246855 265419 387915 442365 543081 740565 900433 905135 1163745 1327095 1629243 2701299 2715405 4502165 6303031 8103897 8146215 9904763 13506495 18909093 29714289 31515155 40519485 49523815 56727279 69333341 89142867 94545465 148571445 208000023 283636395 346666705 445714335 624000069 1040000115 3120000345