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332141094 = 23373109773
BaseRepresentation
bin10011110011000…
…001001000100110
3212010222111221000
4103303001020212
51140012003334
652542534130
711142103245
oct2363011046
9763874830
10332141094
1116053757a
1293297346
1353a724bc
143217c95c
151e25c299
hex13cc1226

332141094 has 64 divisors (see below), whose sum is σ = 756043200. Its totient is φ = 108055296.

The previous prime is 332141093. The next prime is 332141101. The reversal of 332141094 is 490141233.

It is a super-2 number, since 2×3321410942 = 220635412647033672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332141093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429292 + ... + 430064.

It is an arithmetic number, because the mean of its divisors is an integer number (11813175).

Almost surely, 2332141094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332141094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378021600).

332141094 is an abundant number, since it is smaller than the sum of its proper divisors (423902106).

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

332141094 is a wasteful number, since it uses less digits than its factorization.

332141094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 332141094 is about 18224.7385166427. The cubic root of 332141094 is about 692.5336342363.

The spelling of 332141094 in words is "three hundred thirty-two million, one hundred forty-one thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 54 73 109 146 218 219 327 438 654 657 773 981 1314 1546 1962 1971 2319 2943 3942 4638 5886 6957 7957 13914 15914 20871 23871 41742 47742 56429 71613 84257 112858 143226 168514 169287 214839 252771 338574 429678 505542 507861 758313 1015722 1516626 1523583 2274939 3047166 4549878 6150761 12301522 18452283 36904566 55356849 110713698 166070547 332141094