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34241952 = 2531918773
BaseRepresentation
bin1000001010011…
…1110110100000
32101102200010110
42002213312200
532231220302
63221531320
7564023523
oct202476640
971380113
1034241952
1118368538
12b573b40
13712ba14
144794bba
153015b6c
hex20a7da0

34241952 has 48 divisors (see below), whose sum is σ = 94620960. Its totient is φ = 10812672.

The previous prime is 34241941. The next prime is 34241969. The reversal of 34241952 is 25914243.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×342419522 = 2345022553540608, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7563 + ... + 11210.

It is an arithmetic number, because the mean of its divisors is an integer number (1971270).

Almost surely, 234241952 is an apocalyptic number.

34241952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34241952 is an abundant number, since it is smaller than the sum of its proper divisors (60379008).

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

34241952 is a wasteful number, since it uses less digits than its factorization.

34241952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18805 (or 18797 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 34241952 is about 5851.6623279202. The cubic root of 34241952 is about 324.7278257778.

The spelling of 34241952 in words is "thirty-four million, two hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 18773 37546 56319 75092 112638 150184 225276 300368 356687 450552 600736 713374 901104 1070061 1426748 1802208 2140122 2853496 4280244 5706992 8560488 11413984 17120976 34241952