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234106296 = 233193116561
BaseRepresentation
bin11011111010000…
…10110110111000
3121022111211110120
431331002312320
5434412400141
635121413240
75541604434
oct1575026670
9538454416
10234106296
11110168586
126649a220
1339669348
142313d9c4
1515844c66
hexdf42db8

234106296 has 64 divisors (see below), whose sum is σ = 635980800. Its totient is φ = 71539200.

The previous prime is 234106291. The next prime is 234106297. The reversal of 234106296 is 692601432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234106291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5856 + ... + 22416.

It is an arithmetic number, because the mean of its divisors is an integer number (9937200).

Almost surely, 2234106296 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 234106296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317990400).

234106296 is an abundant number, since it is smaller than the sum of its proper divisors (401874504).

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

234106296 is a wasteful number, since it uses less digits than its factorization.

234106296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16620 (or 16616 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 234106296 is about 15300.5325397517. The cubic root of 234106296 is about 616.3173085529.

The spelling of 234106296 in words is "two hundred thirty-four million, one hundred six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 1178 1767 2356 3534 4712 7068 14136 16561 33122 49683 66244 99366 132488 198732 314659 397464 513391 629318 943977 1026782 1258636 1540173 1887954 2053564 2517272 3080346 3775908 4107128 6160692 7551816 9754429 12321384 19508858 29263287 39017716 58526574 78035432 117053148 234106296