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3414192640 = 2951333669
BaseRepresentation
bin1100101110000000…
…0111001000000000
322210221101221211021
43023200013020000
523443013131030
61322441555224
7150415105255
oct31340071000
98727357737
103414192640
1114a224a511
127b34a5b14
13425454b41
1424562342c
1514eb0c97a
hexcb807200

3414192640 has 40 divisors (see below), whose sum is σ = 8186066460. Its totient is φ = 1365676032.

The previous prime is 3414192629. The next prime is 3414192641. The reversal of 3414192640 is 462914143.

It can be written as a sum of positive squares in 2 ways, for example, as 3412429056 + 1763584 = 58416^2 + 1328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×34141926402 = 23313422766060339200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3414192596 and 3414192605.

It is not an unprimeable number, because it can be changed into a prime (3414192641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 664275 + ... + 669394.

Almost surely, 23414192640 is an apocalyptic number.

It is an amenable number.

3414192640 is an abundant number, since it is smaller than the sum of its proper divisors (4771873820).

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

3414192640 is an equidigital number, since it uses as much as digits as its factorization.

3414192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333692 (or 1333676 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3414192640 is about 58431.0930926335. The cubic root of 3414192640 is about 1505.7839853791.

The spelling of 3414192640 in words is "three billion, four hundred fourteen million, one hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 1333669 2667338 5334676 6668345 10669352 13336690 21338704 26673380 42677408 53346760 85354816 106693520 170709632 213387040 341419264 426774080 682838528 853548160 1707096320 3414192640