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30074040 = 23325139601
BaseRepresentation
bin111001010111…
…0010010111000
32002120220211100
41302232102320
530144332130
62552331400
7513424263
oct162562270
962526740
1030074040
1115a81087
12a0a3b60
1362cc8b9
143dcbcda
152990c60
hex1cae4b8

30074040 has 96 divisors (see below), whose sum is σ = 98607600. Its totient is φ = 7948800.

The previous prime is 30074039. The next prime is 30074047. The reversal of 30074040 is 4047003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30074047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49740 + ... + 50340.

Almost surely, 230074040 is an apocalyptic number.

30074040 is a gapful number since it is divisible by the number (30) 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 30074040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49303800).

30074040 is an abundant number, since it is smaller than the sum of its proper divisors (68533560).

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

30074040 is a wasteful number, since it uses less digits than its factorization.

30074040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 30074040 is about 5483.9803063104. The cubic root of 30074040 is about 310.9786622526.

The spelling of 30074040 in words is "thirty million, seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 601 695 834 1112 1202 1251 1390 1668 1803 2085 2404 2502 2780 3005 3336 3606 4170 4808 5004 5409 5560 6010 6255 7212 8340 9015 10008 10818 12020 12510 14424 16680 18030 21636 24040 25020 27045 36060 43272 50040 54090 72120 83539 108180 167078 216360 250617 334156 417695 501234 668312 751851 835390 1002468 1253085 1503702 1670780 2004936 2506170 3007404 3341560 3759255 5012340 6014808 7518510 10024680 15037020 30074040