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918868434 = 231123779433
BaseRepresentation
bin110110110001001…
…101000111010010
32101001000100112020
4312301031013102
53340212242214
6231102312310
731525152501
oct6661150722
92331010466
10918868434
1143174a500
12217888696
131184a1a43
148a06c838
1555a074a9
hex36c4d1d2

918868434 has 96 divisors (see below), whose sum is σ = 2105698560. Its totient is φ = 266872320.

The previous prime is 918868417. The next prime is 918868441. The reversal of 918868434 is 434868819.

918868434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9188684342 = 1688638398003224712, which contains 22 as substring.

Its product of digits (1327104) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2121882 + ... + 2122314.

It is an arithmetic number, because the mean of its divisors is an integer number (21934360).

Almost surely, 2918868434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 918868434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052849280).

918868434 is an abundant number, since it is smaller than the sum of its proper divisors (1186830126).

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

918868434 is a wasteful number, since it uses less digits than its factorization.

918868434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 565 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 918868434 is about 30312.8427238357. The cubic root of 918868434 is about 972.1899131871.

The spelling of 918868434 in words is "nine hundred eighteen million, eight hundred sixty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 79 111 121 158 222 237 242 363 407 433 474 726 814 866 869 1221 1299 1738 2442 2598 2607 2923 4477 4763 5214 5846 8769 8954 9526 9559 13431 14289 16021 17538 19118 26862 28578 28677 32042 32153 34207 48063 52393 57354 64306 68414 96126 96459 102621 104786 157179 176231 192918 205242 314358 352462 353683 376277 528693 707366 752554 1057386 1061049 1128831 1265659 1938541 2122098 2257662 2531318 3796977 3877082 4139047 5815623 7593954 8278094 11631246 12417141 13922249 24834282 27844498 41766747 83533494 153144739 306289478 459434217 918868434