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34238912 = 261937761
BaseRepresentation
bin1000001010011…
…1000111000000
32101102111221212
42002213013000
532231121122
63221505252
7564011621
oct202470700
971374855
1034238912
1118366224
12b572228
13712a516
144793a48
153014ce2
hex20a71c0

34238912 has 56 divisors (see below), whose sum is σ = 73548240. Its totient is φ = 15759360.

The previous prime is 34238909. The next prime is 34238921. The reversal of 34238912 is 21983243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44612 + ... + 45372.

Almost surely, 234238912 is an apocalyptic number.

34238912 is a gapful number since it is divisible by the number (32) 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 34238912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36774120).

34238912 is an abundant number, since it is smaller than the sum of its proper divisors (39309328).

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

34238912 is a wasteful number, since it uses less digits than its factorization.

34238912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 819 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 34238912 is about 5851.4025669065. The cubic root of 34238912 is about 324.7182157161.

It can be divided in two parts, 342 and 38912, that multiplied together give a square (13307904 = 36482).

The spelling of 34238912 in words is "thirty-four million, two hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 148 152 296 304 592 608 703 761 1184 1216 1406 1522 2368 2812 3044 5624 6088 11248 12176 14459 22496 24352 28157 28918 44992 48704 56314 57836 112628 115672 225256 231344 450512 462688 534983 901024 925376 1069966 1802048 2139932 4279864 8559728 17119456 34238912