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30440448 = 21034367
BaseRepresentation
bin111010000011…
…1110000000000
32010021112110000
41310013300000
530243043243
63004240000
7516511443
oct164076000
963245400
1030440448
11162013a5
12a240000
1363ca5cc
14408565a
152a145d3
hex1d07c00

30440448 has 110 divisors (see below), whose sum is σ = 91148816. Its totient is φ = 10119168.

The previous prime is 30440437. The next prime is 30440479. The reversal of 30440448 is 84404403.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82761 + ... + 83127.

Almost surely, 230440448 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 30440448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45574408).

30440448 is an abundant number, since it is smaller than the sum of its proper divisors (60708368).

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

30440448 is an equidigital number, since it uses as much as digits as its factorization.

30440448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 30440448 is about 5517.2862894724. The cubic root of 30440448 is about 312.2365070645.

The spelling of 30440448 in words is "thirty million, four hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 367 384 432 512 576 648 734 768 864 1024 1101 1152 1296 1468 1536 1728 2202 2304 2592 2936 3072 3303 3456 4404 4608 5184 5872 6606 6912 8808 9216 9909 10368 11744 13212 13824 17616 19818 20736 23488 26424 27648 29727 35232 39636 41472 46976 52848 59454 70464 79272 82944 93952 105696 118908 140928 158544 187904 211392 237816 281856 317088 375808 422784 475632 563712 634176 845568 951264 1127424 1268352 1691136 1902528 2536704 3382272 3805056 5073408 7610112 10146816 15220224 30440448