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74429376 = 263779701
BaseRepresentation
bin1000110111110…
…11001111000000
312012001101220120
410123323033000
5123023220001
611215140240
71562432160
oct433731700
9165041816
1074429376
113901698a
1220b14680
131255c968
149c565a0
156803236
hex46fb3c0

74429376 has 112 divisors (see below), whose sum is σ = 228234240. Its totient is φ = 20966400.

The previous prime is 74429363. The next prime is 74429393. The reversal of 74429376 is 67392447.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105826 + ... + 106526.

Almost surely, 274429376 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 74429376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117120).

74429376 is an abundant number, since it is smaller than the sum of its proper divisors (153804864).

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

74429376 is a wasteful number, since it uses less digits than its factorization.

74429376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 792 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 74429376 is about 8627.2461423098. The cubic root of 74429376 is about 420.6440911141.

The spelling of 74429376 in words is "seventy-four million, four hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 158 168 192 224 237 316 336 448 474 553 632 672 701 948 1106 1264 1344 1402 1659 1896 2103 2212 2528 2804 3318 3792 4206 4424 4907 5056 5608 6636 7584 8412 8848 9814 11216 13272 14721 15168 16824 17696 19628 22432 26544 29442 33648 35392 39256 44864 53088 55379 58884 67296 78512 106176 110758 117768 134592 157024 166137 221516 235536 314048 332274 387653 443032 471072 664548 775306 886064 942144 1162959 1329096 1550612 1772128 2325918 2658192 3101224 3544256 4651836 5316384 6202448 9303672 10632768 12404896 18607344 24809792 37214688 74429376