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3494921472 = 28337217607
BaseRepresentation
bin1101000001010000…
…0100010100000000
3100000120022101222000
43100110010110000
524124144441342
61334444144000
7152415225300
oct32024042400
910016271860
103494921472
111533879259
12816538000
134390abb93
14252239600
15156c5744c
hexd0504500

3494921472 has 432 divisors, whose sum is σ = 12750635520. Its totient is φ = 938262528.

The previous prime is 3494921471. The next prime is 3494921477. The reversal of 3494921472 is 2741294943.

3494921472 is a `hidden beast` number, since 3 + 4 + 94 + 92 + 1 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3494921471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5757393 + ... + 5757999.

It is an arithmetic number, because the mean of its divisors is an integer number (29515360).

Almost surely, 23494921472 is an apocalyptic number.

3494921472 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 3494921472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6375317760).

3494921472 is an abundant number, since it is smaller than the sum of its proper divisors (9255714048).

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

3494921472 is a wasteful number, since it uses less digits than its factorization.

3494921472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 636 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3494921472 is about 59117.8608543983. The cubic root of 3494921472 is about 1517.5597779856.

The spelling of 3494921472 in words is "three billion, four hundred ninety-four million, nine hundred twenty-one thousand, four hundred seventy-two".