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298420096 = 2713372131
BaseRepresentation
bin10001110010011…
…000011110000000
3202210112022102011
4101302120132000
51102343420341
645340102304
710252346302
oct2162303600
9683468364
10298420096
111434a5487
1283b34994
1349a96950
142b8c1972
151b2eab81
hex11c98780

298420096 has 96 divisors (see below), whose sum is σ = 663034680. Its totient is φ = 132986880.

The previous prime is 298420081. The next prime is 298420141. The reversal of 298420096 is 690024892.

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 11 ways as a sum of consecutive naturals, for example, 2277951 + ... + 2278081.

Almost surely, 2298420096 is an apocalyptic number.

298420096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 298420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331517340).

298420096 is an abundant number, since it is smaller than the sum of its proper divisors (364614584).

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

298420096 is a wasteful number, since it uses less digits than its factorization.

298420096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 298420096 is about 17274.8399703152. The cubic root of 298420096 is about 668.2557257718.

The spelling of 298420096 in words is "two hundred ninety-eight million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 131 148 208 262 296 416 481 524 592 832 962 1048 1184 1369 1664 1703 1924 2096 2368 2738 3406 3848 4192 4736 4847 5476 6812 7696 8384 9694 10952 13624 15392 16768 17797 19388 21904 27248 30784 35594 38776 43808 54496 61568 63011 71188 77552 87616 108992 126022 142376 155104 175232 179339 217984 252044 284752 310208 358678 504088 569504 620416 717356 1008176 1139008 1434712 2016352 2278016 2331407 2869424 4032704 4662814 5738848 8065408 9325628 11477696 18651256 22955392 37302512 74605024 149210048 298420096