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306716540 = 225136183233
BaseRepresentation
bin10010010010000…
…001111101111100
3210101010210222212
4102102001331330
51112004412130
650233555552
710413022214
oct2222017574
9711123885
10306716540
11148151749
1286875bb8
134b70cca0
142ca41244
151bdd8e95
hex12481f7c

306716540 has 96 divisors (see below), whose sum is σ = 716579136. Its totient is φ = 109578240.

The previous prime is 306716537. The next prime is 306716561. The reversal of 306716540 is 45617603.

It is a junction number, because it is equal to n+sod(n) for n = 306716497 and 306716506.

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, 1316264 + ... + 1316496.

It is an arithmetic number, because the mean of its divisors is an integer number (7464366).

Almost surely, 2306716540 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 306716540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358289568).

306716540 is an abundant number, since it is smaller than the sum of its proper divisors (409862596).

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

306716540 is a wasteful number, since it uses less digits than its factorization.

306716540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 306716540 is about 17513.3246415408. The cubic root of 306716540 is about 674.3919828902.

The spelling of 306716540 in words is "three hundred six million, seven hundred sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 83 122 130 166 233 244 260 305 332 415 466 610 793 830 932 1079 1165 1220 1586 1660 2158 2330 3029 3172 3965 4316 4660 5063 5395 6058 7930 10126 10790 12116 14213 15145 15860 19339 20252 21580 25315 28426 30290 38678 50630 56852 60580 65819 71065 77356 96695 101260 131638 142130 184769 193390 251407 263276 284260 329095 369538 386780 502814 658190 739076 923845 1005628 1179679 1257035 1316380 1847690 2359358 2514070 3695380 4718716 5028140 5898395 11796790 15335827 23593580 30671654 61343308 76679135 153358270 306716540