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61214364 = 22325332083
BaseRepresentation
bin1110100110000…
…0111010011100
311021012000022200
43221200322130
5111132324424
610024011500
71342212351
oct351407234
9137160280
1061214364
1131610292
1218600b90
13c8b3923
1481b6628
1555928c9
hex3a60e9c

61214364 has 36 divisors (see below), whose sum is σ = 157660776. Its totient is φ = 20019168.

The previous prime is 61214357. The next prime is 61214393. The reversal of 61214364 is 46341216.

61214364 is a `hidden beast` number, since 612 + 1 + 43 + 6 + 4 = 666.

61214364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×612143643 (a number of 24 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14134 + ... + 17949.

It is an arithmetic number, because the mean of its divisors is an integer number (4379466).

Almost surely, 261214364 is an apocalyptic number.

It is an amenable number.

61214364 is an abundant number, since it is smaller than the sum of its proper divisors (96446412).

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

61214364 is a wasteful number, since it uses less digits than its factorization.

61214364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32146 (or 32141 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 61214364 is about 7823.9608894728. The cubic root of 61214364 is about 394.1102957635.

The spelling of 61214364 in words is "sixty-one million, two hundred fourteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 32083 64166 96249 128332 192498 288747 384996 577494 1154988 1700399 3400798 5101197 6801596 10202394 15303591 20404788 30607182 61214364