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3478820512 = 252937711427
BaseRepresentation
bin1100111101011010…
…1001011010100000
322222110000101121011
43033112221122200
524111034224022
61333111110304
7152131325566
oct31726513240
98873011534
103478820512
111525781382
12811072394
1343596239b
14250047a36
15155626977
hexcf5a96a0

3478820512 has 96 divisors (see below), whose sum is σ = 7384245120. Its totient is φ = 1609896960.

The previous prime is 3478820503. The next prime is 3478820533. The reversal of 3478820512 is 2150288743.

It is a happy number.

3478820512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2437143 + ... + 2438569.

It is an arithmetic number, because the mean of its divisors is an integer number (76919220).

Almost surely, 23478820512 is an apocalyptic number.

3478820512 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 3478820512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692122560).

3478820512 is an abundant number, since it is smaller than the sum of its proper divisors (3905424608).

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

3478820512 is a wasteful number, since it uses less digits than its factorization.

3478820512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 3478820512 is about 58981.5268707076. The cubic root of 3478820512 is about 1515.2257448067.

The spelling of 3478820512 in words is "three billion, four hundred seventy-eight million, eight hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 29 32 37 58 71 74 116 142 148 232 284 296 464 568 592 928 1073 1136 1184 1427 2059 2146 2272 2627 2854 4118 4292 5254 5708 8236 8584 10508 11416 16472 17168 21016 22832 32944 34336 41383 42032 45664 52799 65888 76183 82766 84064 101317 105598 152366 165532 202634 211196 304732 331064 405268 422392 609464 662128 810536 844784 1218928 1324256 1531171 1621072 1689568 2437856 2938193 3062342 3242144 3748729 5876386 6124684 7497458 11752772 12249368 14994916 23505544 24498736 29989832 47011088 48997472 59979664 94022176 108713141 119959328 217426282 434852564 869705128 1739410256 3478820512