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3425435604 = 223217101151367
BaseRepresentation
bin1100110000101011…
…1111111111010100
322211201120011021100
43030022333333110
524003402414404
61323522550100
7150612502503
oct31412777724
98751504240
103425435604
1114a8629518
127b7208330
13427890396
14246d0c83a
15150acdd39
hexcc2bffd4

3425435604 has 144 divisors (see below), whose sum is σ = 9345563136. Its totient is φ = 1054080000.

The previous prime is 3425435597. The next prime is 3425435627. The reversal of 3425435604 is 4065345243.

3425435604 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 43 + 5 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9333429 + ... + 9333795.

It is an arithmetic number, because the mean of its divisors is an integer number (64899744).

Almost surely, 23425435604 is an apocalyptic number.

3425435604 is a gapful number since it is divisible by the number (34) 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 3425435604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672781568).

3425435604 is an abundant number, since it is smaller than the sum of its proper divisors (5920127532).

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

3425435604 is a wasteful number, since it uses less digits than its factorization.

3425435604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 3425435604 is about 58527.2210514048. The cubic root of 3425435604 is about 1507.4350273558.

The spelling of 3425435604 in words is "three billion, four hundred twenty-five million, four hundred thirty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 101 102 151 153 202 204 302 303 306 367 404 453 604 606 612 734 906 909 1101 1212 1359 1468 1717 1812 1818 2202 2567 2718 3303 3434 3636 4404 5134 5151 5436 6239 6606 6868 7701 10268 10302 12478 13212 15251 15402 15453 18717 20604 23103 24956 30502 30804 30906 37067 37434 45753 46206 55417 56151 61004 61812 74134 74868 91506 92412 110834 111201 112302 137259 148268 166251 183012 221668 222402 224604 259267 274518 332502 333603 444804 498753 518534 549036 630139 665004 667206 777801 942089 997506 1037068 1260278 1334412 1555602 1884178 1890417 1995012 2333403 2520556 2826267 3111204 3768356 3780834 4666806 5597117 5652534 5671251 7561668 8478801 9333612 11194234 11305068 11342502 16791351 16957602 22388468 22685004 33582702 33915204 50374053 67165404 95150989 100748106 190301978 201496212 285452967 380603956 570905934 856358901 1141811868 1712717802 3425435604