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742931004 = 223234615839
BaseRepresentation
bin101100010010000…
…011101000111100
31220202221210202010
4230102003220330
53010142243004
6201415331220
724260544414
oct5422035074
91822853663
10742931004
11351402072
12188980b10
13babc105a
1470951644
1545352a89
hex2c483a3c

742931004 has 48 divisors (see below), whose sum is σ = 1813109760. Its totient is φ = 236322240.

The previous prime is 742930997. The next prime is 742931011. The reversal of 742931004 is 400139247.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (742930997) and next prime (742931011).

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 15 ways as a sum of consecutive naturals, for example, 124317 + ... + 130155.

It is an arithmetic number, because the mean of its divisors is an integer number (37773120).

Almost surely, 2742931004 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 742931004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906554880).

742931004 is an abundant number, since it is smaller than the sum of its proper divisors (1070178756).

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

742931004 is a wasteful number, since it uses less digits than its factorization.

742931004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 742931004 is about 27256.7607026220. The cubic root of 742931004 is about 905.6967880477.

The spelling of 742931004 in words is "seven hundred forty-two million, nine hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 461 922 1383 1844 2766 5532 5839 10603 11678 17517 21206 23356 31809 35034 42412 63618 70068 127236 134297 268594 402891 537188 805782 1611564 2691779 5383558 8075337 10767116 16150674 32301348 61910917 123821834 185732751 247643668 371465502 742931004