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400133034 = 2357117617
BaseRepresentation
bin10111110110011…
…000101110101010
31000212220212100000
4113312120232222
51304413224114
6103412123430
712626034420
oct2766305652
91025825300
10400133034
11195956964
12b2006576
1364b8a012
143b1db110
15251dce09
hex17d98baa

400133034 has 48 divisors (see below), whose sum is σ = 1027510848. Its totient is φ = 114322752.

The previous prime is 400133009. The next prime is 400133057. The reversal of 400133034 is 430331004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400132998 and 400133016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55407 + ... + 62210.

It is an arithmetic number, because the mean of its divisors is an integer number (21406476).

Almost surely, 2400133034 is an apocalyptic number.

400133034 is an abundant number, since it is smaller than the sum of its proper divisors (627377814).

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

400133034 is a wasteful number, since it uses less digits than its factorization.

400133034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117641 (or 117629 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 400133034 is about 20003.3255735140. The cubic root of 400133034 is about 736.8879742486.

Adding to 400133034 its reverse (430331004), we get a palindrome (830464038).

The spelling of 400133034 in words is "four hundred million, one hundred thirty-three thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 117617 235234 352851 705702 823319 1058553 1646638 2117106 2469957 3175659 4939914 6351318 7409871 9526977 14819742 19053954 22229613 28580931 44459226 57161862 66688839 133377678 200066517 400133034