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10457034 = 237307811
BaseRepresentation
bin100111111000…
…111111001010
3201200021100120
4213320333022
510134111114
61012044110
7154611660
oct47707712
921607316
1010457034
1159a2585
123603636
1322218c3
141562c30
15db85a9
hex9f8fca

10457034 has 32 divisors (see below), whose sum is σ = 24009216. Its totient is φ = 2974320.

The previous prime is 10457033. The next prime is 10457063. The reversal of 10457034 is 43075401.

10457034 = T92 + T93 + ... + T398.

It is a junction number, because it is equal to n+sod(n) for n = 10456995 and 10457013.

It is not an unprimeable number, because it can be changed into a prime (10457033) 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, 12489 + ... + 13299.

It is an arithmetic number, because the mean of its divisors is an integer number (750288).

Almost surely, 210457034 is an apocalyptic number.

10457034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10457034 is an abundant number, since it is smaller than the sum of its proper divisors (13552182).

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

10457034 is a wasteful number, since it uses less digits than its factorization.

10457034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 10457034 is about 3233.7337552742. The cubic root of 10457034 is about 218.6768654565.

The spelling of 10457034 in words is "ten million, four hundred fifty-seven thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 307 614 811 921 1622 1842 2149 2433 4298 4866 5677 6447 11354 12894 17031 34062 248977 497954 746931 1493862 1742839 3485678 5228517 10457034