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4412411304 = 2337163269599
BaseRepresentation
bin1000001110000000…
…00000110110101000
3102101111201201101220
410013000000312220
533014034130204
62005501142040
7214225606620
oct40700006650
912344651356
104412411304
111964766a14
12a3185a920
135541ba282
142dc029880
151ac58b1d9
hex107000da8

4412411304 has 128 divisors (see below), whose sum is σ = 12752640000. Its totient is φ = 1246212864.

The previous prime is 4412411293. The next prime is 4412411309. The reversal of 4412411304 is 4031142144.

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

It is not an unprimeable number, because it can be changed into a prime (4412411309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7365997 + ... + 7366595.

It is an arithmetic number, because the mean of its divisors is an integer number (99630000).

Almost surely, 24412411304 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 4412411304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376320000).

4412411304 is an abundant number, since it is smaller than the sum of its proper divisors (8340228696).

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

4412411304 is a wasteful number, since it uses less digits than its factorization.

4412411304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4412411304 is about 66425.9836509780. The cubic root of 4412411304 is about 1640.1818289374.

Adding to 4412411304 its reverse (4031142144), we get a palindrome (8443553448).

The spelling of 4412411304 in words is "four billion, four hundred twelve million, four hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 163 168 269 326 489 538 599 652 807 978 1076 1141 1198 1304 1614 1797 1883 1956 2152 2282 2396 3228 3423 3594 3766 3912 4193 4564 4792 5649 6456 6846 7188 7532 8386 9128 11298 12579 13692 14376 15064 16772 22596 25158 27384 33544 43847 45192 50316 87694 97637 100632 131541 161131 175388 195274 263082 292911 306929 322262 350776 390548 483393 526164 585822 613858 644524 683459 781096 920787 966786 1052328 1127917 1171644 1227716 1289048 1366918 1841574 1933572 2050377 2255834 2343288 2455432 2733836 3383751 3683148 3867144 4100754 4511668 5467672 6767502 7366296 8201508 9023336 13535004 16403016 26264353 27070008 52528706 78793059 105057412 157586118 183850471 210114824 315172236 367700942 551551413 630344472 735401884 1103102826 1470803768 2206205652 4412411304