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307192144 = 24731103859
BaseRepresentation
bin10010010011110…
…110000101010000
3210102000222101211
4102103312011100
51112120122034
650252105504
710420042630
oct2223660520
9712028354
10307192144
11148447006
1286a65294
134b8485cc
142cb266c0
151be7ed64
hex124f6150

307192144 has 80 divisors (see below), whose sum is σ = 709795840. Its totient is φ = 126023040.

The previous prime is 307192139. The next prime is 307192177. The reversal of 307192144 is 441291703.

307192144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357187 + ... + 358045.

It is an arithmetic number, because the mean of its divisors is an integer number (8872448).

Almost surely, 2307192144 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 307192144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354897920).

307192144 is an abundant number, since it is smaller than the sum of its proper divisors (402603696).

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

307192144 is a wasteful number, since it uses less digits than its factorization.

307192144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 307192144 is about 17526.8977289194. The cubic root of 307192144 is about 674.7403804502.

The spelling of 307192144 in words is "three hundred seven million, one hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 103 112 124 206 217 248 412 434 496 721 824 859 868 1442 1648 1718 1736 2884 3193 3436 3472 5768 6013 6386 6872 11536 12026 12772 13744 22351 24052 25544 26629 44702 48104 51088 53258 88477 89404 96208 106516 176954 178808 186403 213032 353908 357616 372806 426064 619339 707816 745612 1238678 1415632 1491224 2477356 2742787 2982448 4954712 5485574 9909424 10971148 19199509 21942296 38399018 43884592 76798036 153596072 307192144