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742406364 = 223376714657
BaseRepresentation
bin101100010000000…
…011100011011100
31220201222011002000
4230100003203130
53010024000424
6201400202300
724253231020
oct5420034334
91821864060
10742406364
11351083987
12188769390
13baa6930b
1470856380
154529c3c9
hex2c4038dc

742406364 has 96 divisors (see below), whose sum is σ = 2232706560. Its totient is φ = 208935936.

The previous prime is 742406347. The next prime is 742406377. The reversal of 742406364 is 463604247.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43324 + ... + 57980.

It is an arithmetic number, because the mean of its divisors is an integer number (23257360).

Almost surely, 2742406364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742406364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116353280).

742406364 is an abundant number, since it is smaller than the sum of its proper divisors (1490300196).

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

742406364 is a wasteful number, since it uses less digits than its factorization.

742406364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14744 (or 14736 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 742406364 is about 27247.1349686531. The cubic root of 742406364 is about 905.4835440837.

The spelling of 742406364 in words is "seven hundred forty-two million, four hundred six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 67 84 108 126 134 189 201 252 268 378 402 469 603 756 804 938 1206 1407 1809 1876 2412 2814 3618 4221 5628 7236 8442 12663 14657 16884 25326 29314 43971 50652 58628 87942 102599 131913 175884 205198 263826 307797 395739 410396 527652 615594 791478 923391 982019 1231188 1582956 1846782 1964038 2770173 2946057 3693564 3928076 5540346 5892114 6874133 8838171 11080692 11784228 13748266 17676342 20622399 26514513 27496532 35352684 41244798 53029026 61867197 82489596 106058052 123734394 185601591 247468788 371203182 742406364