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3334007432 = 237274311447
BaseRepresentation
bin1100011010111000…
…1110101010001000
322121100112010101202
43012232032222020
523312001214212
61310455203332
7145422411200
oct30656165210
98540463352
103334007432
111460a62148
12790676548
1341195b382
14238b0d400
15147a6e0c2
hexc6b8ea88

3334007432 has 48 divisors (see below), whose sum is σ = 7282301760. Its totient is φ = 1426812576.

The previous prime is 3334007419. The next prime is 3334007441. The reversal of 3334007432 is 2347004333.

It is a super-2 number, since 2×33340074322 = 22231211113262469248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3334007395 and 3334007404.

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, 285533 + ... + 296979.

It is an arithmetic number, because the mean of its divisors is an integer number (151714620).

Almost surely, 23334007432 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 3334007432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641150880).

3334007432 is an abundant number, since it is smaller than the sum of its proper divisors (3948294328).

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

3334007432 is a wasteful number, since it uses less digits than its factorization.

3334007432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12210 (or 12199 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 29.

The square root of 3334007432 is about 57740.8644895450. The cubic root of 3334007432 is about 1493.9022723640.

The spelling of 3334007432 in words is "three billion, three hundred thirty-four million, seven thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 743 1486 2972 5201 5944 10402 11447 20804 22894 36407 41608 45788 72814 80129 91576 145628 160258 291256 320516 560903 641032 1121806 2243612 4487224 8505121 17010242 34020484 59535847 68040968 119071694 238143388 416750929 476286776 833501858 1667003716 3334007432