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397020672 = 2932292971
BaseRepresentation
bin10111101010100…
…000111000000000
31000200001201222100
4113222200320000
51303114130142
6103221310400
712560422446
oct2752407000
91020051870
10397020672
11194120564
12b0b65400
136433a499
143aa2ab96
1524cc5b4c
hex17aa0e00

397020672 has 120 divisors (see below), whose sum is σ = 1185738840. Its totient is φ = 127733760.

The previous prime is 397020667. The next prime is 397020683. The reversal of 397020672 is 276020793.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132147 + ... + 135117.

It is an arithmetic number, because the mean of its divisors is an integer number (9881157).

Almost surely, 2397020672 is an apocalyptic number.

397020672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592869420).

397020672 is an abundant number, since it is smaller than the sum of its proper divisors (788718168).

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

397020672 is a wasteful number, since it uses less digits than its factorization.

397020672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 397020672 is about 19925.3775873884. The cubic root of 397020672 is about 734.9724160133.

It can be divided in two parts, 3970 and 20672, that added together give a palindrome (24642).

The spelling of 397020672 in words is "three hundred ninety-seven million, twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1044 1152 1392 1536 1856 2088 2304 2784 2971 3712 4176 4608 5568 5942 7424 8352 8913 11136 11884 14848 16704 17826 22272 23768 26739 33408 35652 44544 47536 53478 66816 71304 86159 95072 106956 133632 142608 172318 190144 213912 258477 285216 344636 380288 427824 516954 570432 689272 760576 775431 855648 1033908 1140864 1378544 1521152 1550862 1711296 2067816 2281728 2757088 3101724 3422592 4135632 4563456 5514176 6203448 6845184 8271264 11028352 12406896 13690368 16542528 22056704 24813792 33085056 44113408 49627584 66170112 99255168 132340224 198510336 397020672