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234414096 = 24371973503
BaseRepresentation
bin11011111100011…
…10000000010000
3121100002110200120
431332032000100
5440002222341
635132150240
75544326010
oct1576160020
9540073616
10234414096
11110358864
1266608380
1339746487
14231bdc40
15158a6066
hexdf8e010

234414096 has 160 divisors (see below), whose sum is σ = 739952640. Its totient is φ = 62456832.

The previous prime is 234414079. The next prime is 234414119. The reversal of 234414096 is 690414432.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465781 + ... + 466283.

It is an arithmetic number, because the mean of its divisors is an integer number (4624704).

Almost surely, 2234414096 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 234414096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369976320).

234414096 is an abundant number, since it is smaller than the sum of its proper divisors (505538544).

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

234414096 is a wasteful number, since it uses less digits than its factorization.

234414096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 234414096 is about 15310.5877091639. The cubic root of 234414096 is about 616.5872989974.

The spelling of 234414096 in words is "two hundred thirty-four million, four hundred fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 73 76 84 112 114 133 146 152 168 219 228 266 292 304 336 399 438 456 503 511 532 584 798 876 912 1006 1022 1064 1168 1387 1509 1533 1596 1752 2012 2044 2128 2774 3018 3066 3192 3504 3521 4024 4088 4161 5548 6036 6132 6384 7042 8048 8176 8322 9557 9709 10563 11096 12072 12264 14084 16644 19114 19418 21126 22192 24144 24528 28168 28671 29127 33288 36719 38228 38836 42252 56336 57342 58254 66576 66899 73438 76456 77672 84504 110157 114684 116508 133798 146876 152912 155344 169008 200697 220314 229368 233016 257033 267596 293752 401394 440628 458736 466032 514066 535192 587504 697661 771099 802788 881256 1028132 1070384 1395322 1542198 1605576 1762512 2056264 2092983 2790644 3084396 3211152 4112528 4185966 4883627 5581288 6168792 8371932 9767254 11162576 12337584 14650881 16743864 19534508 29301762 33487728 39069016 58603524 78138032 117207048 234414096