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3480531696 = 2432318832
BaseRepresentation
bin1100111101110100…
…1011001011110000
322222120020022220100
43033131023023300
524112004003241
61333211512400
7152152013505
oct31735131360
98876208810
103480531696
11152673aa84
12811758700
13436111215
142503714ac
151558639b6
hexcf74b2f0

3480531696 has 90 divisors (see below), whose sum is σ = 10066269408. Its totient is φ = 1121480640.

The previous prime is 3480531673. The next prime is 3480531707. The reversal of 3480531696 is 6961350843.

3480531696 is a `hidden beast` number, since 3 + 480 + 5 + 3 + 169 + 6 = 666.

It is a super-2 number, since 2×34805316962 = 24228201773721272832, 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 17 ways as a sum of consecutive naturals, for example, 3941271 + ... + 3942153.

Almost surely, 23480531696 is an apocalyptic number.

3480531696 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 3480531696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033134704).

3480531696 is an abundant number, since it is smaller than the sum of its proper divisors (6585737712).

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

3480531696 is an equidigital number, since it uses as much as digits as its factorization.

3480531696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3480531696 is about 58996.0311885469. The cubic root of 3480531696 is about 1515.4741436565.

The spelling of 3480531696 in words is "three billion, four hundred eighty million, five hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 883 1116 1488 1766 2232 2649 3532 4464 5298 7064 7947 10596 14128 15894 21192 27373 31788 42384 54746 63576 82119 109492 127152 164238 218984 246357 328476 437968 492714 656952 779689 985428 1313904 1559378 1970856 2339067 3118756 3941712 4678134 6237512 7017201 9356268 12475024 14034402 18712536 24170359 28068804 37425072 48340718 56137608 72511077 96681436 112275216 145022154 193362872 217533231 290044308 386725744 435066462 580088616 870132924 1160177232 1740265848 3480531696