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3407374296 = 233319182591
BaseRepresentation
bin1100101100011000…
…0110011111011000
322210110120112211000
43023012012133120
523434241434141
61322035505000
7150303126564
oct31306063730
98713515730
103407374296
111499412817
127b1158160
13423c08511
1424476a6a4
1514e2125b6
hexcb1867d8

3407374296 has 64 divisors (see below), whose sum is σ = 9514598400. Its totient is φ = 1129831200.

The previous prime is 3407374283. The next prime is 3407374301. The reversal of 3407374296 is 6924737043.

3407374296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34073742962 = 23220399186082991232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40 + ... + 82551.

It is an arithmetic number, because the mean of its divisors is an integer number (148665600).

Almost surely, 23407374296 is an apocalyptic number.

3407374296 is a gapful number since it is divisible by the number (36) 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 3407374296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757299200).

3407374296 is an abundant number, since it is smaller than the sum of its proper divisors (6107224104).

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

3407374296 is a wasteful number, since it uses less digits than its factorization.

3407374296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82797 (or 82787 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3407374296 is about 58372.7187648477. The cubic root of 3407374296 is about 1504.7809375677.

The spelling of 3407374296 in words is "three billion, four hundred seven million, three hundred seventy-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 191 216 382 573 764 1146 1528 1719 2292 3438 4584 5157 6876 10314 13752 20628 41256 82591 165182 247773 330364 495546 660728 743319 991092 1486638 1982184 2229957 2973276 4459914 5946552 8919828 15774881 17839656 31549762 47324643 63099524 94649286 126199048 141973929 189298572 283947858 378597144 425921787 567895716 851843574 1135791432 1703687148 3407374296