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307682040 = 233523412719
BaseRepresentation
bin10010010101101…
…101101011111000
3210102221212102010
4102111231223320
51112231311130
650310405520
710424153121
oct2225555370
9712855363
10307682040
11148751086
12870608a0
134b98a5a3
142cc13048
151c02a0b0
hex1256daf8

307682040 has 128 divisors (see below), whose sum is σ = 987033600. Its totient is φ = 76538880.

The previous prime is 307682033. The next prime is 307682077. The reversal of 307682040 is 40286703.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 307681989 and 307682007.

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, 111801 + ... + 114519.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2307682040 is an apocalyptic number.

307682040 is a gapful number since it is divisible by the number (30) 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 307682040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493516800).

307682040 is an abundant number, since it is smaller than the sum of its proper divisors (679351560).

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

307682040 is a wasteful number, since it uses less digits than its factorization.

307682040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 307682040 is about 17540.8677094379. The cubic root of 307682040 is about 675.0988716623.

The spelling of 307682040 in words is "three hundred seven million, six hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 41 46 60 69 82 92 115 120 123 138 164 184 205 230 246 276 328 345 410 460 492 552 615 690 820 920 943 984 1230 1380 1640 1886 2460 2719 2760 2829 3772 4715 4920 5438 5658 7544 8157 9430 10876 11316 13595 14145 16314 18860 21752 22632 27190 28290 32628 37720 40785 54380 56580 62537 65256 81570 108760 111479 113160 125074 163140 187611 222958 250148 312685 326280 334437 375222 445916 500296 557395 625370 668874 750444 891832 938055 1114790 1250740 1337748 1500888 1672185 1876110 2229580 2501480 2564017 2675496 3344370 3752220 4459160 5128034 6688740 7504440 7692051 10256068 12820085 13377480 15384102 20512136 25640170 30768204 38460255 51280340 61536408 76920510 102560680 153841020 307682040