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74350440 = 23335431601
BaseRepresentation
bin1000110111001…
…11111101101000
312011220101122000
410123213331220
5123013203230
611213331000
71561653063
oct433477550
9164811560
1074350440
1138a7264a
1220a96a60
1312532a58
149c358da
1567d9b60
hex46e7f68

74350440 has 128 divisors (see below), whose sum is σ = 253756800. Its totient is φ = 19353600.

The previous prime is 74350429. The next prime is 74350453. The reversal of 74350440 is 4405347.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45640 + ... + 47240.

It is an arithmetic number, because the mean of its divisors is an integer number (1982475).

Almost surely, 274350440 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 74350440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126878400).

74350440 is an abundant number, since it is smaller than the sum of its proper divisors (179406360).

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

74350440 is a wasteful number, since it uses less digits than its factorization.

74350440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 74350440 is about 8622.6701200962. The cubic root of 74350440 is about 420.4953339574.

Adding to 74350440 its reverse (4405347), we get a palindrome (78755787).

The spelling of 74350440 in words is "seventy-four million, three hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 172 180 215 216 258 270 344 360 387 430 516 540 645 774 860 1032 1080 1161 1290 1548 1601 1720 1935 2322 2580 3096 3202 3870 4644 4803 5160 5805 6404 7740 8005 9288 9606 11610 12808 14409 15480 16010 19212 23220 24015 28818 32020 38424 43227 46440 48030 57636 64040 68843 72045 86454 96060 115272 137686 144090 172908 192120 206529 216135 275372 288180 344215 345816 413058 432270 550744 576360 619587 688430 826116 864540 1032645 1239174 1376860 1652232 1729080 1858761 2065290 2478348 2753720 3097935 3717522 4130580 4956696 6195870 7435044 8261160 9293805 12391740 14870088 18587610 24783480 37175220 74350440