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3498904404 = 2233293136037
BaseRepresentation
bin1101000010001101…
…0000101101010100
3100000211210202112000
43100203100231110
524131204420104
61335105355300
7152464124322
oct32043205524
910024722460
103498904404
111536049736
12817938b30
13439b74a48
14252994d12
15157292639
hexd08d0b54

3498904404 has 96 divisors (see below), whose sum is σ = 9687014400. Its totient is φ = 1089728640.

The previous prime is 3498904403. The next prime is 3498904411. The reversal of 3498904404 is 4044098943.

3498904404 is a `hidden beast` number, since 34 + 98 + 90 + 440 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3498904404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3498904403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79074 + ... + 115110.

It is an arithmetic number, because the mean of its divisors is an integer number (100906400).

Almost surely, 23498904404 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 3498904404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843507200).

3498904404 is an abundant number, since it is smaller than the sum of its proper divisors (6188109996).

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

3498904404 is a wasteful number, since it uses less digits than its factorization.

3498904404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36110 (or 36102 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3498904404 is about 59151.5376300566. The cubic root of 3498904404 is about 1518.1360467985.

The spelling of 3498904404 in words is "three billion, four hundred ninety-eight million, nine hundred four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 29 31 36 54 58 62 87 93 108 116 124 174 186 261 279 348 372 522 558 783 837 899 1044 1116 1566 1674 1798 2697 3132 3348 3596 5394 8091 10788 16182 24273 32364 36037 48546 72074 97092 108111 144148 216222 324333 432444 648666 972999 1045073 1117147 1297332 1945998 2090146 2234294 3135219 3351441 3891996 4180292 4468588 6270438 6702882 9405657 10054323 12540876 13405764 18811314 20108646 28216971 30162969 32397263 37622628 40217292 56433942 60325938 64794526 97191789 112867884 120651876 129589052 194383578 291575367 388767156 583150734 874726101 1166301468 1749452202 3498904404