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74204480 = 2657157211
BaseRepresentation
bin1000110110001…
…00010101000000
312011121222102002
410123010111000
5122444020410
611210243132
71560504410
oct433042500
9164558362
1074204480
1138982a19
1220a264a8
13124b149c
149bd8640
1567ab7a5
hex46c4540

74204480 has 112 divisors (see below), whose sum is σ = 204191616. Its totient is φ = 25159680.

The previous prime is 74204479. The next prime is 74204489. The reversal of 74204480 is 8440247.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74204489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351575 + ... + 351785.

Almost surely, 274204480 is an apocalyptic number.

74204480 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 74204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102095808).

74204480 is an abundant number, since it is smaller than the sum of its proper divisors (129987136).

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

74204480 is a wasteful number, since it uses less digits than its factorization.

74204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 74204480 is about 8614.2022265559. The cubic root of 74204480 is about 420.2199905718.

The spelling of 74204480 in words is "seventy-four million, two hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 157 160 211 224 280 314 320 422 448 560 628 785 844 1055 1099 1120 1256 1477 1570 1688 2110 2198 2240 2512 2954 3140 3376 4220 4396 5024 5495 5908 6280 6752 7385 8440 8792 10048 10990 11816 12560 13504 14770 16880 17584 21980 23632 25120 29540 33127 33760 35168 43960 47264 50240 59080 66254 67520 70336 87920 94528 118160 132508 165635 175840 231889 236320 265016 331270 351680 463778 472640 530032 662540 927556 1060064 1159445 1325080 1855112 2120128 2318890 2650160 3710224 4637780 5300320 7420448 9275560 10600640 14840896 18551120 37102240 74204480