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74322640 = 24571737211
BaseRepresentation
bin1000110111000…
…01001011010000
312011211222111101
410123201023100
5123011311030
611212554144
71561506040
oct433411320
9164758441
1074322640
1138a53777
1220a82954
13125231c2
149c29720
1567d17ca
hex46e12d0

74322640 has 160 divisors (see below), whose sum is σ = 215771904. Its totient is φ = 23224320.

The previous prime is 74322629. The next prime is 74322643. The reversal of 74322640 is 4622347.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 74322599 and 74322608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74322643) by changing a digit.

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, 352135 + ... + 352345.

Almost surely, 274322640 is an apocalyptic number.

74322640 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 74322640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107885952).

74322640 is an abundant number, since it is smaller than the sum of its proper divisors (141449264).

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

74322640 is a wasteful number, since it uses less digits than its factorization.

74322640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 74322640 is about 8621.0579397195. The cubic root of 74322640 is about 420.4429189905.

Adding to 74322640 its reverse (4622347), we get a palindrome (78944987).

The spelling of 74322640 in words is "seventy-four million, three hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 37 40 56 68 70 74 80 85 112 119 136 140 148 170 185 211 238 259 272 280 296 340 370 422 476 518 560 592 595 629 680 740 844 952 1036 1055 1190 1258 1295 1360 1477 1480 1688 1904 2072 2110 2380 2516 2590 2954 2960 3145 3376 3587 4144 4220 4403 4760 5032 5180 5908 6290 7174 7385 7807 8440 8806 9520 10064 10360 11816 12580 14348 14770 15614 16880 17612 17935 20720 22015 23632 25109 25160 28696 29540 31228 35224 35870 39035 44030 50218 50320 54649 57392 59080 62456 70448 71740 78070 88060 100436 109298 118160 124912 125545 132719 143480 156140 176120 200872 218596 251090 265438 273245 286960 312280 352240 401744 437192 502180 530876 546490 624560 663595 874384 929033 1004360 1061752 1092980 1327190 1858066 2008720 2123504 2185960 2654380 3716132 4371920 4645165 5308760 7432264 9290330 10617520 14864528 18580660 37161320 74322640