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3457345312 = 25613315351
BaseRepresentation
bin1100111000010010…
…1110011100100000
322220221121100011101
43032010232130200
524040040022222
61331022524144
7151450643641
oct31604563440
98827540141
103457345312
111514643783
12805a36654
13431383675
1424b2576c8
151537d3927
hexce12e720

3457345312 has 48 divisors (see below), whose sum is σ = 6940430784. Its totient is φ = 1694880000.

The previous prime is 3457345273. The next prime is 3457345337. The reversal of 3457345312 is 2135437543.

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, 643437 + ... + 648787.

It is an arithmetic number, because the mean of its divisors is an integer number (144592308).

Almost surely, 23457345312 is an apocalyptic number.

3457345312 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 3457345312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470215392).

3457345312 is an abundant number, since it is smaller than the sum of its proper divisors (3483085472).

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

3457345312 is a wasteful number, since it uses less digits than its factorization.

3457345312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5753 (or 5745 counting only the distinct ones).

The product of its digits is 151200, while the sum is 37.

The square root of 3457345312 is about 58799.1948244192. The cubic root of 3457345312 is about 1512.1014134641.

The spelling of 3457345312 in words is "three billion, four hundred fifty-seven million, three hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 61 122 244 331 488 662 976 1324 1952 2648 5296 5351 10592 10702 20191 21404 40382 42808 80764 85616 161528 171232 323056 326411 646112 652822 1305644 1771181 2611288 3542362 5222576 7084724 10445152 14169448 28338896 56677792 108042041 216084082 432168164 864336328 1728672656 3457345312