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70417344 = 2631997199
BaseRepresentation
bin1000011001001…
…11101111000000
311220111120102210
410030213233000
5121011323334
610553142120
71513352244
oct414475700
9156446383
1070417344
1136826658
121b6ba940
131178678a
1494d0424
1562ae5e9
hex4327bc0

70417344 has 112 divisors (see below), whose sum is σ = 199136000. Its totient is φ = 21897216.

The previous prime is 70417343. The next prime is 70417351. The reversal of 70417344 is 44371407.

70417344 is a modest number, since divided by 17344 gives 704 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70417343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353757 + ... + 353955.

It is an arithmetic number, because the mean of its divisors is an integer number (1778000).

Almost surely, 270417344 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 70417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99568000).

70417344 is an abundant number, since it is smaller than the sum of its proper divisors (128718656).

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

70417344 is a wasteful number, since it uses less digits than its factorization.

70417344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 70417344 is about 8391.5042751583. The cubic root of 70417344 is about 412.9459522360.

The spelling of 70417344 in words is "seventy million, four hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 97 114 152 192 194 199 228 291 304 388 398 456 582 597 608 776 796 912 1164 1194 1216 1552 1592 1824 1843 2328 2388 3104 3184 3648 3686 3781 4656 4776 5529 6208 6368 7372 7562 9312 9552 11058 11343 12736 14744 15124 18624 19104 19303 22116 22686 29488 30248 38208 38606 44232 45372 57909 58976 60496 77212 88464 90744 115818 117952 120992 154424 176928 181488 231636 241984 308848 353856 362976 366757 463272 617696 725952 733514 926544 1100271 1235392 1467028 1853088 2200542 2934056 3706176 4401084 5868112 8802168 11736224 17604336 23472448 35208672 70417344