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234969984 = 2734131173
BaseRepresentation
bin11100000000101…
…01101110000000
3121101010201020000
432000111232000
5440123014414
635152120000
75552132454
oct1600255600
9541121200
10234969984
111106a8477
1266836000
13398ac4c2
14232c6664
1515965b09
hexe015b80

234969984 has 160 divisors (see below), whose sum is σ = 708677640. Its totient is φ = 77276160.

The previous prime is 234969961. The next prime is 234969997. The reversal of 234969984 is 489969432.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 234969984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1358122 + ... + 1358294.

Almost surely, 2234969984 is an apocalyptic number.

234969984 is a gapful number since it is divisible by the number (24) 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 234969984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354338820).

234969984 is an abundant number, since it is smaller than the sum of its proper divisors (473707656).

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

234969984 is a wasteful number, since it uses less digits than its factorization.

234969984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 309 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 234969984 is about 15328.7306715201. The cubic root of 234969984 is about 617.0743045547.

The spelling of 234969984 in words is "two hundred thirty-four million, nine hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 131 144 162 173 192 216 262 288 324 346 384 393 432 519 524 576 648 692 786 864 1038 1048 1152 1179 1296 1384 1557 1572 1728 2076 2096 2358 2592 2768 3114 3144 3456 3537 4152 4192 4671 4716 5184 5536 6228 6288 7074 8304 8384 9342 9432 10368 10611 11072 12456 12576 14013 14148 16608 16768 18684 18864 21222 22144 22663 24912 25152 28026 28296 33216 37368 37728 42444 45326 49824 50304 56052 56592 66432 67989 74736 75456 84888 90652 99648 112104 113184 135978 149472 150912 169776 181304 199296 203967 224208 226368 271956 298944 339552 362608 407934 448416 452736 543912 597888 611901 679104 725216 815868 896832 1087824 1223802 1358208 1450432 1631736 1793664 1835703 2175648 2447604 2900864 3263472 3671406 4351296 4895208 6526944 7342812 8702592 9790416 13053888 14685624 19580832 26107776 29371248 39161664 58742496 78323328 117484992 234969984