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674070672 = 243112176827
BaseRepresentation
bin101000001011011…
…000000010010000
31201222101100010110
4220023120002100
52340030230142
6150515401320
722463335422
oct5013300220
91658340113
10674070672
1131654a300
121698b3240
13a98611b2
1465748812
153e29e99c
hex282d8090

674070672 has 120 divisors (see below), whose sum is σ = 2026932768. Its totient is φ = 192220160.

The previous prime is 674070653. The next prime is 674070673. The reversal of 674070672 is 276070476.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 674070672.

It is not an unprimeable number, because it can be changed into a prime (674070673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95323 + ... + 102149.

Almost surely, 2674070672 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 674070672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013466384).

674070672 is an abundant number, since it is smaller than the sum of its proper divisors (1352862096).

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

674070672 is a wasteful number, since it uses less digits than its factorization.

674070672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 674070672 is about 25962.8710276810. The cubic root of 674070672 is about 876.8025630064.

The spelling of 674070672 in words is "six hundred seventy-four million, seventy thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 121 132 136 176 187 204 242 264 272 363 374 408 484 528 561 726 748 816 968 1122 1452 1496 1936 2057 2244 2904 2992 4114 4488 5808 6171 6827 8228 8976 12342 13654 16456 20481 24684 27308 32912 40962 49368 54616 75097 81924 98736 109232 116059 150194 163848 225291 232118 300388 327696 348177 450582 464236 600776 696354 826067 901164 928472 1201552 1276649 1392708 1652134 1802328 1856944 2478201 2553298 2785416 3304268 3604656 3829947 4956402 5106596 5570832 6608536 7659894 9912804 10213192 13217072 14043139 15319788 19825608 20426384 28086278 30639576 39651216 42129417 56172556 61279152 84258834 112345112 168517668 224690224 337035336 674070672