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74634840 = 23325724231
BaseRepresentation
bin1000111001011…
…01011001011000
312012102211202100
410130231121120
5123101303330
611223403400
71564246200
oct434553130
9165384670
1074634840
1139147295
1220bb3560
1312602337
149cab400
156844060
hex472d658

74634840 has 144 divisors (see below), whose sum is σ = 282232080. Its totient is φ = 17055360.

The previous prime is 74634787. The next prime is 74634853. The reversal of 74634840 is 4843647.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74634795 and 74634804.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 15525 + ... + 19755.

It is an arithmetic number, because the mean of its divisors is an integer number (1959945).

Almost surely, 274634840 is an apocalyptic number.

74634840 is a gapful number since it is divisible by the number (70) 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 74634840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141116040).

74634840 is an abundant number, since it is smaller than the sum of its proper divisors (207597240).

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

74634840 is a wasteful number, since it uses less digits than its factorization.

74634840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 74634840 is about 8639.1457911069. The cubic root of 74634840 is about 421.0308013792.

The spelling of 74634840 in words is "seventy-four million, six hundred thirty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4231 4410 5880 8462 8820 12693 16924 17640 21155 25386 29617 33848 38079 42310 50772 59234 63465 76158 84620 88851 101544 118468 126930 148085 152316 169240 177702 190395 207319 236936 253860 266553 296170 304632 355404 380790 414638 444255 507720 533106 592340 621957 710808 761580 829276 888510 1036595 1066212 1184680 1243914 1332765 1523160 1658552 1777020 1865871 2073190 2132424 2487828 2665530 3109785 3554040 3731742 4146380 4975656 5331060 6219570 7463484 8292760 9329355 10662120 12439140 14926968 18658710 24878280 37317420 74634840