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3970157328 = 2437234933
BaseRepresentation
bin1110110010100011…
…1100101100010000
3101020200112220000000
43230220330230100
531112330013303
61453542130000
7200245531464
oct35450745420
911220486000
103970157328
111758060a65
12929720900
134b36a3227
142993c64a4
1518382cda3
hexeca3cb10

3970157328 has 160 divisors (see below), whose sum is σ = 12040538880. Its totient is φ = 1265590656.

The previous prime is 3970157311. The next prime is 3970157353. The reversal of 3970157328 is 8237510793.

It is a happy number.

3970157328 is a `hidden beast` number, since 3 + 9 + 70 + 1 + 573 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802350 + ... + 807282.

It is an arithmetic number, because the mean of its divisors is an integer number (75253368).

Almost surely, 23970157328 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 3970157328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020269440).

3970157328 is an abundant number, since it is smaller than the sum of its proper divisors (8070381552).

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

3970157328 is an equidigital number, since it uses as much as digits as its factorization.

3970157328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3970157328 is about 63009.1844733766. The cubic root of 3970157328 is about 1583.4435028592.

The spelling of 3970157328 in words is "three billion, nine hundred seventy million, one hundred fifty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 324 368 414 432 486 552 621 648 729 828 972 1104 1242 1296 1458 1656 1863 1944 2187 2484 2916 3312 3726 3888 4374 4933 4968 5589 5832 7452 8748 9866 9936 11178 11664 14799 14904 16767 17496 19732 22356 29598 29808 33534 34992 39464 44397 44712 50301 59196 67068 78928 88794 89424 100602 113459 118392 133191 134136 177588 201204 226918 236784 266382 268272 340377 355176 399573 402408 453836 532764 680754 710352 799146 804816 907672 1021131 1065528 1198719 1361508 1598292 1815344 2042262 2131056 2397438 2723016 3063393 3196584 3596157 4084524 4794876 5446032 6126786 6393168 7192314 8169048 9190179 9589752 10788471 12253572 14384628 16338096 18380358 19179504 21576942 24507144 27570537 28769256 36760716 43153884 49014288 55141074 57538512 73521432 82711611 86307768 110282148 147042864 165423222 172615536 220564296 248134833 330846444 441128592 496269666 661692888 992539332 1323385776 1985078664 3970157328