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3475625376 = 253167431503
BaseRepresentation
bin1100111100101001…
…1101010110100000
322222020000001200210
43033022131112200
524104230003001
61332514414120
7152062220406
oct31712352640
98866001623
103475625376
111523999873
1280bb91340
134350b3c82
1424d855476
151551e4dd6
hexcf29d5a0

3475625376 has 96 divisors (see below), whose sum is σ = 9217732608. Its totient is φ = 1146648320.

The previous prime is 3475625359. The next prime is 3475625393. The reversal of 3475625376 is 6735265743.

3475625376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3475625359) and next prime (3475625393).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6909541 + ... + 6910043.

It is an arithmetic number, because the mean of its divisors is an integer number (96018048).

Almost surely, 23475625376 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 3475625376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608866304).

3475625376 is an abundant number, since it is smaller than the sum of its proper divisors (5742107232).

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

3475625376 is a wasteful number, since it uses less digits than its factorization.

3475625376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1106 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 48.

The square root of 3475625376 is about 58954.4347441310. The cubic root of 3475625376 is about 1514.7617144214.

The spelling of 3475625376 in words is "three billion, four hundred seventy-five million, six hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 431 501 503 668 862 1002 1006 1293 1336 1509 1724 2004 2012 2586 2672 3018 3448 4008 4024 5172 5344 6036 6896 8016 8048 10344 12072 13792 16032 16096 20688 24144 41376 48288 71977 84001 143954 168002 215931 216793 252003 287908 336004 431862 433586 504006 575816 650379 672008 863724 867172 1008012 1151632 1300758 1344016 1727448 1734344 2016024 2303264 2601516 2688032 3454896 3468688 4032048 5203032 6909792 6937376 8064096 10406064 20812128 36204431 72408862 108613293 144817724 217226586 289635448 434453172 579270896 868906344 1158541792 1737812688 3475625376