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674142616 = 237173153431
BaseRepresentation
bin101000001011101…
…001100110011000
31201222111222211001
4220023221212120
52340040030431
6150521114344
722464055240
oct5013514630
91658458731
10674142616
11316599364
121699289b4
13a9887b74
1465766b20
153e2b5e61
hex282e9998

674142616 has 128 divisors (see below), whose sum is σ = 1612431360. Its totient is φ = 257587200.

The previous prime is 674142607. The next prime is 674142617. The reversal of 674142616 is 616241476.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674142617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1563921 + ... + 1564351.

It is an arithmetic number, because the mean of its divisors is an integer number (12597120).

Almost surely, 2674142616 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 674142616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806215680).

674142616 is an abundant number, since it is smaller than the sum of its proper divisors (938288744).

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

674142616 is a wasteful number, since it uses less digits than its factorization.

674142616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 674142616 is about 25964.2565077454. The cubic root of 674142616 is about 876.8337557988.

The spelling of 674142616 in words is "six hundred seventy-four million, one hundred forty-two thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 31 34 53 56 62 68 106 119 124 136 212 217 238 248 371 424 431 434 476 527 742 862 868 901 952 1054 1484 1643 1724 1736 1802 2108 2968 3017 3286 3448 3604 3689 4216 6034 6307 6572 7208 7327 7378 11501 12068 12614 13144 13361 14654 14756 22843 23002 24136 25228 26722 27931 29308 29512 45686 46004 50456 51289 53444 55862 58616 91372 92008 93527 102578 106888 111724 159901 182744 187054 195517 205156 223448 227137 319802 374108 388331 391034 410312 454274 639604 708133 748216 776662 782068 908548 1279208 1416266 1553324 1564136 1589959 1817096 2718317 2832532 3106648 3179918 4956931 5436634 5665064 6359836 9913862 10873268 12038261 12719672 19827724 21746536 24076522 39655448 48153044 84267827 96306088 168535654 337071308 674142616