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3418952004 = 2234132113847
BaseRepresentation
bin1100101111001001…
…0001000101000100
322211021100202110000
43023302101011010
524000222431004
61323132001300
7150503420046
oct31362210504
98737322400
103418952004
1114a4a00276
127b5000230
13426430230
14246101a96
1515024cc39
hexcbc91144

3418952004 has 120 divisors (see below), whose sum is σ = 9673471808. Its totient is φ = 1046727360.

The previous prime is 3418951997. The next prime is 3418952011. The reversal of 3418952004 is 4002598143.

It is an interprime number because it is at equal distance from previous prime (3418951997) and next prime (3418952011).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3418952004.

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 39 ways as a sum of consecutive naturals, for example, 886809 + ... + 890655.

Almost surely, 23418952004 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 3418952004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836735904).

3418952004 is an abundant number, since it is smaller than the sum of its proper divisors (6254519804).

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

3418952004 is a wasteful number, since it uses less digits than its factorization.

3418952004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3418952004 is about 58471.8052055861. The cubic root of 3418952004 is about 1506.4833451175.

The spelling of 3418952004 in words is "three billion, four hundred eighteen million, nine hundred fifty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 211 234 324 351 422 468 633 702 844 1053 1266 1404 1899 2106 2532 2743 3798 3847 4212 5486 5697 7596 7694 8229 10972 11394 11541 15388 16458 17091 22788 23082 24687 32916 34182 34623 46164 49374 50011 68364 69246 74061 98748 100022 103869 138492 148122 150033 200044 207738 222183 296244 300066 311607 415476 444366 450099 600132 623214 811717 888732 900198 1246428 1350297 1623434 1800396 2435151 2700594 3246868 4050891 4870302 5401188 7305453 8101782 9740604 10552321 14610906 16203564 21104642 21916359 29221812 31656963 42209284 43832718 63313926 65749077 87665436 94970889 126627852 131498154 189941778 262996308 284912667 379883556 569825334 854738001 1139650668 1709476002 3418952004