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3485474272 = 25722976651
BaseRepresentation
bin1100111111000000…
…0001110111100000
322222220112102211201
43033300001313200
524114240134042
61333505450544
7152242020400
oct31760016740
98886472751
103485474272
111529506455
12813340a54
13437151b17
14250c9a800
15155edd1b7
hexcfc01de0

3485474272 has 72 divisors (see below), whose sum is σ = 8257719960. Its totient is φ = 1442246400.

The previous prime is 3485474231. The next prime is 3485474287. The reversal of 3485474272 is 2724745843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7147 + ... + 83797.

It is an arithmetic number, because the mean of its divisors is an integer number (114690555).

Almost surely, 23485474272 is an apocalyptic number.

3485474272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3485474272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128859980).

3485474272 is an abundant number, since it is smaller than the sum of its proper divisors (4772245688).

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

3485474272 is a wasteful number, since it uses less digits than its factorization.

3485474272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76704 (or 76689 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 46.

The square root of 3485474272 is about 59037.9053828979. The cubic root of 3485474272 is about 1516.1911608625.

The spelling of 3485474272 in words is "three billion, four hundred eighty-five million, four hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 784 812 928 1421 1568 1624 2842 3248 5684 6496 11368 22736 45472 76651 153302 306604 536557 613208 1073114 1226416 2146228 2222879 2452832 3755899 4292456 4445758 7511798 8584912 8891516 15023596 15560153 17169824 17783032 30047192 31120306 35566064 60094384 62240612 71132128 108921071 120188768 124481224 217842142 248962448 435684284 497924896 871368568 1742737136 3485474272