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70356816 = 2433237397
BaseRepresentation
bin1000011000110…
…00111101010000
311220101111102000
410030120331100
5121002404231
610551554000
71513010625
oct414307520
9156344360
1070356816
1136795132
121b68b900
131176506a
1494b634c
15629b6e6
hex4318f50

70356816 has 160 divisors (see below), whose sum is σ = 215819520. Its totient is φ = 21897216.

The previous prime is 70356809. The next prime is 70356821. The reversal of 70356816 is 61865307.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 725280 + ... + 725376.

It is an arithmetic number, because the mean of its divisors is an integer number (1348872).

Almost surely, 270356816 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 70356816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107909760).

70356816 is an abundant number, since it is smaller than the sum of its proper divisors (145462704).

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

70356816 is a wasteful number, since it uses less digits than its factorization.

70356816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 70356816 is about 8387.8969950757. The cubic root of 70356816 is about 412.8276009127.

The spelling of 70356816 in words is "seventy million, three hundred fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 73 92 97 108 138 144 146 184 194 207 216 219 276 291 292 368 388 414 432 438 552 582 584 621 657 776 828 873 876 1104 1164 1168 1242 1314 1552 1656 1679 1746 1752 1971 2231 2328 2484 2619 2628 3312 3358 3492 3504 3942 4462 4656 4968 5037 5238 5256 6693 6716 6984 7081 7884 8924 9936 10074 10476 10512 13386 13432 13968 14162 15111 15768 17848 20079 20148 20952 21243 26772 26864 28324 30222 31536 35696 40158 40296 41904 42486 45333 53544 56648 60237 60444 63729 80316 80592 84972 90666 107088 113296 120474 120888 127458 160632 162863 169944 181332 191187 240948 241776 254916 321264 325726 339888 362664 382374 481896 488589 509832 651452 725328 764748 963792 977178 1019664 1302904 1465767 1529496 1954356 2605808 2931534 3058992 3908712 4397301 5863068 7817424 8794602 11726136 17589204 23452272 35178408 70356816