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670454496 = 2535151571
BaseRepresentation
bin100111111101100…
…101001011100000
31201201120121200000
4213331211023200
52333114020441
6150310100000
722420524555
oct4775451340
91651517600
10670454496
113144aa428
1216864a600
13a8b9624a
1465086a2c
153dcd82b6
hex27f652e0

670454496 has 144 divisors (see below), whose sum is σ = 1993799808. Its totient is φ = 221616000.

The previous prime is 670454489. The next prime is 670454507. The reversal of 670454496 is 694454076.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6704544962 = 899018462413228032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1173891 + ... + 1174461.

It is an arithmetic number, because the mean of its divisors is an integer number (13845832).

Almost surely, 2670454496 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 670454496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996899904).

670454496 is an abundant number, since it is smaller than the sum of its proper divisors (1323345312).

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

670454496 is a wasteful number, since it uses less digits than its factorization.

670454496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 670454496 is about 25893.1360788916. The cubic root of 670454496 is about 875.2318279876.

The spelling of 670454496 in words is "six hundred seventy million, four hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 151 162 216 243 288 302 324 432 453 486 571 604 648 864 906 972 1142 1208 1296 1359 1713 1812 1944 2284 2416 2592 2718 3426 3624 3888 4077 4568 4832 5139 5436 6852 7248 7776 8154 9136 10278 10872 12231 13704 14496 15417 16308 18272 20556 21744 24462 27408 30834 32616 36693 41112 43488 46251 48924 54816 61668 65232 73386 82224 86221 92502 97848 123336 130464 138753 146772 164448 172442 185004 195696 246672 258663 277506 293544 344884 370008 391392 493344 517326 555012 587088 689768 740016 775989 1034652 1110024 1174176 1379536 1480032 1551978 2069304 2220048 2327967 2759072 3103956 4138608 4440096 4655934 6207912 6983901 8277216 9311868 12415824 13967802 18623736 20951703 24831648 27935604 37247472 41903406 55871208 74494944 83806812 111742416 167613624 223484832 335227248 670454496