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296416380 = 2235132931297
BaseRepresentation
bin10001101010101…
…111010001111100
3202122202111211110
4101222233101330
51101340311010
645225122020
710226332461
oct2152572174
9678674743
10296416380
11142357017
1283329310
1349544910
142b51d668
151b052120
hex11aaf47c

296416380 has 96 divisors (see below), whose sum is σ = 897551424. Its totient is φ = 72658944.

The previous prime is 296416363. The next prime is 296416381. The reversal of 296416380 is 83614692.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296416381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227892 + ... + 229188.

It is an arithmetic number, because the mean of its divisors is an integer number (9349494).

Almost surely, 2296416380 is an apocalyptic number.

296416380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296416380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448775712).

296416380 is an abundant number, since it is smaller than the sum of its proper divisors (601135044).

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

296416380 is a wasteful number, since it uses less digits than its factorization.

296416380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 296416380 is about 17216.7470795153. The cubic root of 296416380 is about 666.7567172802.

The spelling of 296416380 in words is "two hundred ninety-six million, four hundred sixteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 293 390 586 780 879 1172 1297 1465 1758 2594 2930 3516 3809 3891 4395 5188 5860 6485 7618 7782 8790 11427 12970 15236 15564 16861 17580 19045 19455 22854 25940 33722 38090 38910 45708 50583 57135 67444 76180 77820 84305 101166 114270 168610 202332 228540 252915 337220 380021 505830 760042 1011660 1140063 1520084 1900105 2280126 3800210 4560252 4940273 5700315 7600420 9880546 11400630 14820819 19761092 22801260 24701365 29641638 49402730 59283276 74104095 98805460 148208190 296416380