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40780314 = 23317311433
BaseRepresentation
bin1001101110010…
…0001000011010
32211201212002000
42123210020122
540414432224
64014021430
71003425021
oct233441032
984655060
1040780314
1121023943
12117a7876
1385aaa83
1455b78b8
1538a80c9
hex26e421a

40780314 has 64 divisors (see below), whose sum is σ = 99118080. Its totient is φ = 12372480.

The previous prime is 40780309. The next prime is 40780343. The reversal of 40780314 is 41308704.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27742 + ... + 29174.

It is an arithmetic number, because the mean of its divisors is an integer number (1548720).

Almost surely, 240780314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40780314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49559040).

40780314 is an abundant number, since it is smaller than the sum of its proper divisors (58337766).

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

40780314 is a wasteful number, since it uses less digits than its factorization.

40780314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40780314 is about 6385.9466017185. The cubic root of 40780314 is about 344.2047467345.

The spelling of 40780314 in words is "forty million, seven hundred eighty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 306 459 527 558 837 918 1054 1433 1581 1674 2866 3162 4299 4743 8598 9486 12897 14229 24361 25794 28458 38691 44423 48722 73083 77382 88846 133269 146166 219249 266538 399807 438498 657747 755191 799614 1199421 1315494 1510382 2265573 2398842 4531146 6796719 13593438 20390157 40780314