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234364242996 = 223413107520019
BaseRepresentation
bin1101101001000100110…
…0101000110000110100
3211101221020200002210000
43122101030220300310
512314434221233441
6255355423031300
722634523124242
oct3322114506064
9741836602700
10234364242996
1190436561624
123950813b530
131913c907a80
14b4b3db7792
15616a2c22b6
hex3691328c34

234364242996 has 120 divisors (see below), whose sum is σ = 665970893280. Its totient is φ = 71437992768.

The previous prime is 234364242977. The next prime is 234364243007. The reversal of 234364242996 is 699242463432.

234364242996 is a `hidden beast` number, since 2 + 34 + 364 + 242 + 9 + 9 + 6 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 190675 + ... + 710693.

It is an arithmetic number, because the mean of its divisors is an integer number (5549757444).

Almost surely, 2234364242996 is an apocalyptic number.

234364242996 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 234364242996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332985446640).

234364242996 is an abundant number, since it is smaller than the sum of its proper divisors (431606650284).

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

234364242996 is a wasteful number, since it uses less digits than its factorization.

234364242996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520155 (or 520144 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 234364242996 in words is "two hundred thirty-four billion, three hundred sixty-four million, two hundred forty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 107 108 117 156 162 214 234 321 324 351 428 468 642 702 963 1053 1284 1391 1404 1926 2106 2782 2889 3852 4173 4212 5564 5778 8346 8667 11556 12519 16692 17334 25038 34668 37557 50076 75114 112671 150228 225342 450684 520019 1040038 1560057 2080076 3120114 4680171 6240228 6760247 9360342 13520494 14040513 18720684 20280741 27040988 28081026 40561482 42121539 55642033 56162052 60842223 81122964 84243078 111284066 121684446 166926099 168486156 182526669 222568132 243368892 333852198 365053338 500778297 547580007 667704396 723346429 730106676 1001556594 1095160014 1446692858 1502334891 2003113188 2170039287 2190320028 2893385716 3004669782 4340078574 4507004673 6009339564 6510117861 8680157148 9014009346 13020235722 18028018692 19530353583 26040471444 39060707166 58591060749 78121414332 117182121498 234364242996