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70370400 = 25352109269
BaseRepresentation
bin1000011000111…
…00010001100000
311220102012001010
410030130101200
5121003323100
610552140520
71513065342
oct414342140
9156365033
1070370400
11367a4361
121b697740
131176b2b9
1494bb292
1562a0750
hex431c460

70370400 has 144 divisors (see below), whose sum is σ = 232016400. Its totient is φ = 18524160.

The previous prime is 70370389. The next prime is 70370407. The reversal of 70370400 is 407307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70370407) 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, 261466 + ... + 261734.

It is an arithmetic number, because the mean of its divisors is an integer number (1611225).

Almost surely, 270370400 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 70370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116008200).

70370400 is an abundant number, since it is smaller than the sum of its proper divisors (161646000).

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

70370400 is a wasteful number, since it uses less digits than its factorization.

70370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 70370400 is about 8388.7066941216. The cubic root of 70370400 is about 412.8541678212.

Adding to 70370400 its reverse (407307), we get a palindrome (70777707).

The spelling of 70370400 in words is "seventy million, three hundred seventy thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 109 120 150 160 200 218 240 269 300 327 400 436 480 538 545 600 654 800 807 872 1076 1090 1200 1308 1345 1614 1635 1744 2152 2180 2400 2616 2690 2725 3228 3270 3488 4035 4304 4360 5232 5380 5450 6456 6540 6725 8070 8175 8608 8720 10464 10760 10900 12912 13080 13450 16140 16350 17440 20175 21520 21800 25824 26160 26900 29321 32280 32700 40350 43040 43600 52320 53800 58642 64560 65400 80700 87200 87963 107600 117284 129120 130800 146605 161400 175926 215200 234568 261600 293210 322800 351852 439815 469136 586420 645600 703704 733025 879630 938272 1172840 1407408 1466050 1759260 2199075 2345680 2814816 2932100 3518520 4398150 4691360 5864200 7037040 8796300 11728400 14074080 17592600 23456800 35185200 70370400