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642340784 = 241779167179
BaseRepresentation
bin100110010010010…
…101011110110000
31122202200021220102
4212102111132300
52303414401114
6143423331532
721626543441
oct4622253660
91582607812
10642340784
112aa648158
1215b150ba8
13a3101a07
14614492c8
153b5d32de
hex264957b0

642340784 has 80 divisors (see below), whose sum is σ = 1349913600. Its totient is φ = 295007232.

The previous prime is 642340781. The next prime is 642340789. The reversal of 642340784 is 487043246.

It is not an unprimeable number, because it can be changed into a prime (642340781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3588407 + ... + 3588585.

It is an arithmetic number, because the mean of its divisors is an integer number (16873920).

Almost surely, 2642340784 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 642340784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

642340784 is an abundant number, since it is smaller than the sum of its proper divisors (707572816).

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

642340784 is a wasteful number, since it uses less digits than its factorization.

642340784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 642340784 is about 25344.4428622923. The cubic root of 642340784 is about 862.8232365165.

The spelling of 642340784 in words is "six hundred forty-two million, three hundred forty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 167 179 272 316 334 358 632 668 716 1264 1336 1343 1432 2672 2686 2839 2864 3043 5372 5678 6086 10744 11356 12172 13193 14141 21488 22712 24344 26386 28282 29893 45424 48688 52772 56564 59786 105544 113128 119572 211088 224281 226256 239144 240397 448562 478288 480794 508181 897124 961588 1016362 1794248 1923176 2032724 2361547 3588496 3846352 4065448 4723094 8130896 9446188 18892376 37784752 40146299 80292598 160585196 321170392 642340784