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3490746144 = 253109133329
BaseRepresentation
bin1101000000010000…
…1000111100100000
3100000021110021111020
43100010020330200
524122112334034
61334214445440
7152334565314
oct32004107440
910007407436
103490746144
111531487276
12815063880
13438279582
1425186db44
151566d0249
hexd0108f20

3490746144 has 48 divisors (see below), whose sum is σ = 9171882720. Its totient is φ = 1162480640.

The previous prime is 3490746113. The next prime is 3490746173. The reversal of 3490746144 is 4416470943.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3490746096 and 3490746105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88072 + ... + 121400.

It is an arithmetic number, because the mean of its divisors is an integer number (191080890).

Almost surely, 23490746144 is an apocalyptic number.

It is an amenable number.

3490746144 is an abundant number, since it is smaller than the sum of its proper divisors (5681136576).

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

3490746144 is a wasteful number, since it uses less digits than its factorization.

3490746144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34433 (or 34425 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3490746144 is about 59082.5367092511. The cubic root of 3490746144 is about 1516.9552021884.

The spelling of 3490746144 in words is "three billion, four hundred ninety million, seven hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1091 2182 3273 4364 6546 8728 13092 17456 26184 33329 34912 52368 66658 99987 104736 133316 199974 266632 399948 533264 799896 1066528 1599792 3199584 36361939 72723878 109085817 145447756 218171634 290895512 436343268 581791024 872686536 1163582048 1745373072 3490746144