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31464450 = 2345217457
BaseRepresentation
bin111100000000…
…1110000000010
32012012120010000
41320001300002
531023330300
63042220430
7531305043
oct170016002
965176100
1031464450
1116840786
12a654716
136698724
1442708ca
152b67c00
hex1e01c02

31464450 has 120 divisors (see below), whose sum is σ = 92769732. Its totient is φ = 7879680.

The previous prime is 31464443. The next prime is 31464451. The reversal of 31464450 is 5446413.

31464450 is a `hidden beast` number, since 3 + 14 + 644 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 22155849 + 9308601 = 4707^2 + 3051^2 .

It is a super-2 number, since 2×314644502 = 1980023227605000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31464451) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68622 + ... + 69078.

Almost surely, 231464450 is an apocalyptic number.

31464450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31464450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46384866).

31464450 is an abundant number, since it is smaller than the sum of its proper divisors (61305282).

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

31464450 is a wasteful number, since it uses less digits than its factorization.

31464450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 31464450 is about 5609.3181403803. The cubic root of 31464450 is about 315.6991274442.

The spelling of 31464450 in words is "thirty-one million, four hundred sixty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 81 85 90 102 135 150 153 162 170 225 255 270 306 405 425 450 457 459 510 675 765 810 850 914 918 1275 1350 1371 1377 1530 2025 2285 2295 2550 2742 2754 3825 4050 4113 4570 4590 6855 6885 7650 7769 8226 11425 11475 12339 13710 13770 15538 20565 22850 22950 23307 24678 34275 34425 37017 38845 41130 46614 61695 68550 68850 69921 74034 77690 102825 116535 123390 139842 185085 194225 205650 209763 233070 308475 349605 370170 388450 419526 582675 616950 629289 699210 925425 1048815 1165350 1258578 1748025 1850850 2097630 3146445 3496050 5244075 6292890 10488150 15732225 31464450