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245432320 = 21657107
BaseRepresentation
bin11101010000100…
…00000000000000
3122002211020211221
432220100000000
51000312313240
640204244424
76040066060
oct1650200000
9562736757
10245432320
111165a3a31
126a240714
133bb03633
142484b3a0
1516830a4a
hexea10000

245432320 has 136 divisors (see below), whose sum is σ = 679472064. Its totient is φ = 83361792.

The previous prime is 245432309. The next prime is 245432339. The reversal of 245432320 is 23234542.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2293707 + ... + 2293813.

Almost surely, 2245432320 is an apocalyptic number.

245432320 is a gapful number since it is divisible by the number (20) 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 245432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339736032).

245432320 is an abundant number, since it is smaller than the sum of its proper divisors (434039744).

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

245432320 is an frugal number, since it uses more digits than its factorization.

245432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 245432320 is about 15666.2797115333. The cubic root of 245432320 is about 626.1003081783.

Adding to 245432320 its reverse (23234542), we get a palindrome (268666862).

The spelling of 245432320 in words is "two hundred forty-five million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 107 112 128 140 160 214 224 256 280 320 428 448 512 535 560 640 749 856 896 1024 1070 1120 1280 1498 1712 1792 2048 2140 2240 2560 2996 3424 3584 3745 4096 4280 4480 5120 5992 6848 7168 7490 8192 8560 8960 10240 11984 13696 14336 14980 16384 17120 17920 20480 23968 27392 28672 29960 32768 34240 35840 40960 47936 54784 57344 59920 65536 68480 71680 81920 95872 109568 114688 119840 136960 143360 163840 191744 219136 229376 239680 273920 286720 327680 383488 438272 458752 479360 547840 573440 766976 876544 958720 1095680 1146880 1533952 1753088 1917440 2191360 2293760 3067904 3506176 3834880 4382720 6135808 7012352 7669760 8765440 12271616 15339520 17530880 24543232 30679040 35061760 49086464 61358080 122716160 245432320