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70436268 = 223271947313
BaseRepresentation
bin1000011001011…
…00010110101100
311220112112101200
410030230112230
5121012430033
610553405500
71513461360
oct414542654
9156475350
1070436268
11368398a1
121b709890
1311792286
1494d72a0
1562b5013
hex432c5ac

70436268 has 144 divisors (see below), whose sum is σ = 219448320. Its totient is φ = 18600192.

The previous prime is 70436263. The next prime is 70436293. The reversal of 70436268 is 86263407.

It is a super-2 number, since 2×704362682 = 9922535699535648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (70436263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224880 + ... + 225192.

Almost surely, 270436268 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 70436268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109724160).

70436268 is an abundant number, since it is smaller than the sum of its proper divisors (149012052).

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

70436268 is a wasteful number, since it uses less digits than its factorization.

70436268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 70436268 is about 8392.6317684026. The cubic root of 70436268 is about 412.9829407052.

The spelling of 70436268 in words is "seventy million, four hundred thirty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 47 57 63 76 84 94 114 126 133 141 171 188 228 252 266 282 313 329 342 399 423 532 564 626 658 684 798 846 893 939 987 1197 1252 1316 1596 1692 1786 1878 1974 2191 2394 2679 2817 2961 3572 3756 3948 4382 4788 5358 5634 5922 5947 6251 6573 8037 8764 10716 11268 11844 11894 12502 13146 14711 16074 17841 18753 19719 23788 25004 26292 29422 32148 35682 37506 39438 41629 44133 53523 56259 58844 71364 75012 78876 83258 88266 102977 107046 112518 124887 132399 166516 176532 205954 214092 225036 249774 264798 279509 308931 374661 411908 499548 529596 559018 617862 749322 838527 926793 1118036 1235724 1498644 1677054 1853586 1956563 2515581 3354108 3707172 3913126 5031162 5869689 7826252 10062324 11739378 17609067 23478756 35218134 70436268