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3429425952 = 253749003
BaseRepresentation
bin1100110001101000…
…1110001100100000
322212000001220000000
43030122032030200
524010413112302
61324144300000
7150661432251
oct31432161440
98760056000
103429425952
1114aa904527
127b8611600
13428659734
1424766ab28
1515111b31c
hexcc68e320

3429425952 has 96 divisors (see below), whose sum is σ = 10126186560. Its totient is φ = 1143118656.

The previous prime is 3429425941. The next prime is 3429425977. The reversal of 3429425952 is 2595249243.

3429425952 is a `hidden beast` number, since 34 + 29 + 4 + 2 + 595 + 2 = 666.

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

It is a super-2 number, since 2×34294259522 = 23521924720502212608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3429425898 and 3429425907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45483 + ... + 94485.

It is an arithmetic number, because the mean of its divisors is an integer number (105481110).

Almost surely, 23429425952 is an apocalyptic number.

3429425952 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 3429425952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063093280).

3429425952 is an abundant number, since it is smaller than the sum of its proper divisors (6696760608).

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

3429425952 is an frugal number, since it uses more digits than its factorization.

3429425952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49034 (or 49008 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 3429425952 is about 58561.3008052246. The cubic root of 3429425952 is about 1508.0201457485.

The spelling of 3429425952 in words is "three billion, four hundred twenty-nine million, four hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 7776 8748 11664 17496 23328 34992 49003 69984 98006 147009 196012 294018 392024 441027 588036 784048 882054 1176072 1323081 1568096 1764108 2352144 2646162 3528216 3969243 4704288 5292324 7056432 7938486 10584648 11907729 14112864 15876972 21169296 23815458 31753944 35723187 42338592 47630916 63507888 71446374 95261832 107169561 127015776 142892748 190523664 214339122 285785496 381047328 428678244 571570992 857356488 1143141984 1714712976 3429425952