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234717264 = 2434612969
BaseRepresentation
bin11011111110110…
…00000001010000
3121100122212120000
431333120001100
5440041423024
635142450000
75550030615
oct1577300120
9540585500
10234717264
11110545611
1266733900
1339821472
142325c50c
1515915cc9
hexdfd8050

234717264 has 100 divisors (see below), whose sum is σ = 690709140. Its totient is φ = 76930560.

The previous prime is 234717239. The next prime is 234717293. The reversal of 234717264 is 462717432.

234717264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3920400 + 230796864 = 1980^2 + 15192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77572 + ... + 80540.

Almost surely, 2234717264 is an apocalyptic number.

234717264 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 234717264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345354570).

234717264 is an abundant number, since it is smaller than the sum of its proper divisors (455991876).

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

234717264 is a wasteful number, since it uses less digits than its factorization.

234717264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3035 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 234717264 is about 15320.4851098129. The cubic root of 234717264 is about 616.8529954919.

The spelling of 234717264 in words is "two hundred thirty-four million, seven hundred seventeen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 244 324 366 432 488 549 648 732 976 1098 1296 1464 1647 2196 2928 2969 3294 4392 4941 5938 6588 8784 8907 9882 11876 13176 17814 19764 23752 26352 26721 35628 39528 47504 53442 71256 79056 80163 106884 142512 160326 181109 213768 240489 320652 362218 427536 480978 543327 641304 724436 961956 1086654 1282608 1448872 1629981 1923912 2173308 2897744 3259962 3847824 4346616 4889943 6519924 8693232 9779886 13039848 14669829 19559772 26079696 29339658 39119544 58679316 78239088 117358632 234717264