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3418907904 = 28322951169
BaseRepresentation
bin1100101111001000…
…0110010100000000
322211021021111221200
43023302012110000
524000220023104
61323131021200
7150503144346
oct31362062400
98737244850
103418907904
1114a4980125
127b4b9a800
13426416139
142460cd996
1515023eb39
hexcbc86500

3418907904 has 108 divisors (see below), whose sum is σ = 10197669300. Its totient is φ = 1100316672.

The previous prime is 3418907867. The next prime is 3418907923. The reversal of 3418907904 is 4097098143.

It can be written as a sum of positive squares in 2 ways, for example, as 902882304 + 2516025600 = 30048^2 + 50160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3418907904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41232 + ... + 92400.

Almost surely, 23418907904 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 3418907904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098834650).

3418907904 is an abundant number, since it is smaller than the sum of its proper divisors (6778761396).

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

3418907904 is a wasteful number, since it uses less digits than its factorization.

3418907904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51220 (or 51203 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3418907904 is about 58471.4280995428. The cubic root of 3418907904 is about 1506.4768678694.

The spelling of 3418907904 in words is "three billion, four hundred eighteen million, nine hundred seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1856 2088 2304 2784 3712 4176 5568 7424 8352 11136 16704 22272 33408 51169 66816 102338 153507 204676 307014 409352 460521 614028 818704 921042 1228056 1483901 1637408 1842084 2456112 2967802 3274816 3684168 4451703 4912224 5935604 6549632 7368336 8903406 9824448 11871208 13099264 13355109 14736672 17806812 19648896 23742416 26710218 29473344 35613624 39297792 47484832 53420436 58946688 71227248 94969664 106840872 117893376 142454496 189939328 213681744 284908992 379878656 427363488 569817984 854726976 1139635968 1709453952 3418907904