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3440370465 = 3257103107991
BaseRepresentation
bin1100110100001111…
…1110001100100001
322212202122221001100
43031003332030201
524021213323330
61325215025013
7151153444410
oct31503761441
98782587040
103440370465
111505aaa284
1280020b169
1342a9bc18c
14248cb9477
1515207e060
hexcd0fe321

3440370465 has 96 divisors (see below), whose sum is σ = 6952697856. Its totient is φ = 1541358720.

The previous prime is 3440370457. The next prime is 3440370467. The reversal of 3440370465 is 5640730443.

It is a happy number.

3440370465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3440370465 - 23 = 3440370457 is a prime.

It is a super-2 number, since 2×34403704652 = 23672297872888632450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3440370467) 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, 3471120 + ... + 3472110.

It is an arithmetic number, because the mean of its divisors is an integer number (72423936).

Almost surely, 23440370465 is an apocalyptic number.

3440370465 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3440370465 is an abundant number, since it is smaller than the sum of its proper divisors (3512327391).

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

3440370465 is a wasteful number, since it uses less digits than its factorization.

3440370465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3440370465 is about 58654.6712973485. The cubic root of 3440370465 is about 1509.6226510558.

The spelling of 3440370465 in words is "three billion, four hundred forty million, three hundred seventy thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 103 105 107 309 315 321 515 535 721 749 927 963 991 1545 1605 2163 2247 2973 3605 3745 4635 4815 4955 6489 6741 6937 8919 10815 11021 11235 14865 20811 32445 33063 33705 34685 44595 55105 62433 77147 99189 102073 104055 106037 165315 231441 306219 312165 318111 385735 495945 510365 530185 694323 714511 742259 918657 954333 1157205 1531095 1590555 2143533 2226777 3471615 3572555 3711295 4593285 4771665 6430599 6680331 10717665 10921811 11133885 32152995 32765433 33401655 54609055 76452677 98296299 163827165 229358031 382263385 491481495 688074093 1146790155 3440370465