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30052330400 = 2552192517877
BaseRepresentation
bin11011111111010000…
…100010101110100000
32212120101202120012002
4123333100202232200
5443021344033100
621450021423132
72112503410421
oct337720425640
985511676162
1030052330400
11118218366a4
1259a856aaa8
132aac188131
14165138b648
15bad5142d5
hex6ff422ba0

30052330400 has 144 divisors (see below), whose sum is σ = 77544099360. Its totient is φ = 11341440000.

The previous prime is 30052330391. The next prime is 30052330411. The reversal of 30052330400 is 403325003.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3811262 + ... + 3819138.

It is an arithmetic number, because the mean of its divisors is an integer number (538500690).

Almost surely, 230052330400 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 30052330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38772049680).

30052330400 is an abundant number, since it is smaller than the sum of its proper divisors (47491768960).

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

30052330400 is a wasteful number, since it uses less digits than its factorization.

30052330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8167 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

Adding to 30052330400 its reverse (403325003), we get a palindrome (30455655403).

The spelling of 30052330400 in words is "thirty billion, fifty-two million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 251 304 380 400 475 502 608 760 800 950 1004 1255 1520 1900 2008 2510 3040 3800 4016 4769 5020 6275 7600 7877 8032 9538 10040 12550 15200 15754 19076 20080 23845 25100 31508 38152 39385 40160 47690 50200 63016 76304 78770 95380 100400 119225 126032 149663 152608 157540 190760 196925 200800 238450 252064 299326 315080 381520 393850 476900 598652 630160 748315 763040 787700 953800 1197304 1260320 1496630 1575400 1907600 1977127 2394608 2993260 3150800 3741575 3815200 3954254 4789216 5986520 6301600 7483150 7908508 9885635 11973040 14966300 15817016 19771270 23946080 29932600 31634032 37565413 39542540 49428175 59865200 63268064 75130826 79085080 98856350 119730400 150261652 158170160 187827065 197712700 300523304 316340320 375654130 395425400 601046608 751308260 790850800 939135325 1202093216 1502616520 1581701600 1878270650 3005233040 3756541300 6010466080 7513082600 15026165200 30052330400