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30474240 = 2163531
BaseRepresentation
bin111010001000…
…0000000000000
32010100020210120
41310100000000
530300133430
63005100240
7520012116
oct164200000
963306716
1030474240
1116224825
12a257680
13640cac4
144093ab6
152a1e610
hex1d10000

30474240 has 136 divisors (see below), whose sum is σ = 100662528. Its totient is φ = 7864320.

The previous prime is 30474239. The next prime is 30474277. The reversal of 30474240 is 4247403.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30474240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 983025 + ... + 983055.

Almost surely, 230474240 is an apocalyptic number.

30474240 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 30474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50331264).

30474240 is an abundant number, since it is smaller than the sum of its proper divisors (70188288).

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

30474240 is an frugal number, since it uses more digits than its factorization.

30474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 30474240 is about 5520.3478151290. The cubic root of 30474240 is about 312.3520024539.

The spelling of 30474240 in words is "thirty million, four hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 512 620 640 744 768 930 960 992 1024 1240 1280 1488 1536 1860 1920 1984 2048 2480 2560 2976 3072 3720 3840 3968 4096 4960 5120 5952 6144 7440 7680 7936 8192 9920 10240 11904 12288 14880 15360 15872 16384 19840 20480 23808 24576 29760 30720 31744 32768 39680 40960 47616 49152 59520 61440 63488 65536 79360 81920 95232 98304 119040 122880 126976 158720 163840 190464 196608 238080 245760 253952 317440 327680 380928 476160 491520 507904 634880 761856 952320 983040 1015808 1269760 1523712 1904640 2031616 2539520 3047424 3809280 5079040 6094848 7618560 10158080 15237120 30474240